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Finding the Fourth Proportional to 1,291.72, 1,937.53 and 414.20

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Solution

The fourth proportional to 1,291.72, 1,937.53 and 414.20 is: 621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.72 : 1,937.53 = 414.20 : x
  2. Step 2: Convert to fraction form
    1,291.72/1,937.53 = 414.20/x
  3. Step 3: Cross multiply
    1,291.72x = 1,937.53 × 414.20
  4. Step 4: Simplify right side
    1,291.72x = 802,513.17
  5. Step 5: Solve for x
    x = 802,513.17/1,291.72
  6. Step 6: Final answer
    x = 621.28

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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.