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Finding the Fourth Proportional to 739.10, 1,110.17 and 714.50

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Solution

The fourth proportional to 739.10, 1,110.17 and 714.50 is: 1,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.10 : 1,110.17 = 714.50 : x
  2. Step 2: Convert to fraction form
    739.10/1,110.17 = 714.50/x
  3. Step 3: Cross multiply
    739.10x = 1,110.17 × 714.50
  4. Step 4: Simplify right side
    739.10x = 793,216.47
  5. Step 5: Solve for x
    x = 793,216.47/739.10
  6. Step 6: Final answer
    x = 1,073.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.