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Finding the Fourth Proportional to 1,117.17, 1,676.31 and 501.31

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Solution

The fourth proportional to 1,117.17, 1,676.31 and 501.31 is: 752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.17 : 1,676.31 = 501.31 : x
  2. Step 2: Convert to fraction form
    1,117.17/1,676.31 = 501.31/x
  3. Step 3: Cross multiply
    1,117.17x = 1,676.31 × 501.31
  4. Step 4: Simplify right side
    1,117.17x = 840,350.97
  5. Step 5: Solve for x
    x = 840,350.97/1,117.17
  6. Step 6: Final answer
    x = 752.21

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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.