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Finding the Fourth Proportional to 754.64, 1,042.46 and 718.19

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Solution

The fourth proportional to 754.64, 1,042.46 and 718.19 is: 992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.64 : 1,042.46 = 718.19 : x
  2. Step 2: Convert to fraction form
    754.64/1,042.46 = 718.19/x
  3. Step 3: Cross multiply
    754.64x = 1,042.46 × 718.19
  4. Step 4: Simplify right side
    754.64x = 748,684.35
  5. Step 5: Solve for x
    x = 748,684.35/754.64
  6. Step 6: Final answer
    x = 992.11

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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.