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Finding the Fourth Proportional to 1,525.47, 2,104.96 and 853.12

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Solution

The fourth proportional to 1,525.47, 2,104.96 and 853.12 is: 1,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.47 : 2,104.96 = 853.12 : x
  2. Step 2: Convert to fraction form
    1,525.47/2,104.96 = 853.12/x
  3. Step 3: Cross multiply
    1,525.47x = 2,104.96 × 853.12
  4. Step 4: Simplify right side
    1,525.47x = 1,795,783.48
  5. Step 5: Solve for x
    x = 1,795,783.48/1,525.47
  6. Step 6: Final answer
    x = 1,177.20

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.