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Finding the Fourth Proportional to 1,301.54, 1,952.60 and 377.17

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Solution

The fourth proportional to 1,301.54, 1,952.60 and 377.17 is: 565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.54 : 1,952.60 = 377.17 : x
  2. Step 2: Convert to fraction form
    1,301.54/1,952.60 = 377.17/x
  3. Step 3: Cross multiply
    1,301.54x = 1,952.60 × 377.17
  4. Step 4: Simplify right side
    1,301.54x = 736,458.20
  5. Step 5: Solve for x
    x = 736,458.20/1,301.54
  6. Step 6: Final answer
    x = 565.83

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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.