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Finding the Fourth Proportional to 1,770.56, 2,656.12 and 472.14

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Solution

The fourth proportional to 1,770.56, 2,656.12 and 472.14 is: 708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.56 : 2,656.12 = 472.14 : x
  2. Step 2: Convert to fraction form
    1,770.56/2,656.12 = 472.14/x
  3. Step 3: Cross multiply
    1,770.56x = 2,656.12 × 472.14
  4. Step 4: Simplify right side
    1,770.56x = 1,254,060.50
  5. Step 5: Solve for x
    x = 1,254,060.50/1,770.56
  6. Step 6: Final answer
    x = 708.28

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.