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Finding the Fourth Proportional to 754.93, 1,042.51 and 714.02

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Solution

The fourth proportional to 754.93, 1,042.51 and 714.02 is: 986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.93 : 1,042.51 = 714.02 : x
  2. Step 2: Convert to fraction form
    754.93/1,042.51 = 714.02/x
  3. Step 3: Cross multiply
    754.93x = 1,042.51 × 714.02
  4. Step 4: Simplify right side
    754.93x = 744,372.99
  5. Step 5: Solve for x
    x = 744,372.99/754.93
  6. Step 6: Final answer
    x = 986.02

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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.