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Finding the Fourth Proportional to 734.13, 1,013.12 and 402.58

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Solution

The fourth proportional to 734.13, 1,013.12 and 402.58 is: 555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.13 : 1,013.12 = 402.58 : x
  2. Step 2: Convert to fraction form
    734.13/1,013.12 = 402.58/x
  3. Step 3: Cross multiply
    734.13x = 1,013.12 × 402.58
  4. Step 4: Simplify right side
    734.13x = 407,854.77
  5. Step 5: Solve for x
    x = 407,854.77/734.13
  6. Step 6: Final answer
    x = 555.57

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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.