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Finding the Fourth Proportional to 1,147.71, 1,721.37 and 417.18

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Solution

The fourth proportional to 1,147.71, 1,721.37 and 417.18 is: 625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.71 : 1,721.37 = 417.18 : x
  2. Step 2: Convert to fraction form
    1,147.71/1,721.37 = 417.18/x
  3. Step 3: Cross multiply
    1,147.71x = 1,721.37 × 417.18
  4. Step 4: Simplify right side
    1,147.71x = 718,121.14
  5. Step 5: Solve for x
    x = 718,121.14/1,147.71
  6. Step 6: Final answer
    x = 625.70

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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.