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Finding the Fourth Proportional to 1,525.20, 2,104.76 and 853.01

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Solution

The fourth proportional to 1,525.20, 2,104.76 and 853.01 is: 1,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.20 : 2,104.76 = 853.01 : x
  2. Step 2: Convert to fraction form
    1,525.20/2,104.76 = 853.01/x
  3. Step 3: Cross multiply
    1,525.20x = 2,104.76 × 853.01
  4. Step 4: Simplify right side
    1,525.20x = 1,795,374.54
  5. Step 5: Solve for x
    x = 1,795,374.54/1,525.20
  6. Step 6: Final answer
    x = 1,177.14

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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.