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Finding the Fourth Proportional to 734.56, 1,013.16 and 560.32

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Solution

The fourth proportional to 734.56, 1,013.16 and 560.32 is: 772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.56 : 1,013.16 = 560.32 : x
  2. Step 2: Convert to fraction form
    734.56/1,013.16 = 560.32/x
  3. Step 3: Cross multiply
    734.56x = 1,013.16 × 560.32
  4. Step 4: Simplify right side
    734.56x = 567,693.81
  5. Step 5: Solve for x
    x = 567,693.81/734.56
  6. Step 6: Final answer
    x = 772.84

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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.