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Finding the Fourth Proportional to 734.10, 1,095.84 and 624.72

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Solution

The fourth proportional to 734.10, 1,095.84 and 624.72 is: 932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.10 : 1,095.84 = 624.72 : x
  2. Step 2: Convert to fraction form
    734.10/1,095.84 = 624.72/x
  3. Step 3: Cross multiply
    734.10x = 1,095.84 × 624.72
  4. Step 4: Simplify right side
    734.10x = 684,593.16
  5. Step 5: Solve for x
    x = 684,593.16/734.10
  6. Step 6: Final answer
    x = 932.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.