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Finding the Fourth Proportional to 1,301.57, 1,952.13 and 376.92

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Solution

The fourth proportional to 1,301.57, 1,952.13 and 376.92 is: 565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.57 : 1,952.13 = 376.92 : x
  2. Step 2: Convert to fraction form
    1,301.57/1,952.13 = 376.92/x
  3. Step 3: Cross multiply
    1,301.57x = 1,952.13 × 376.92
  4. Step 4: Simplify right side
    1,301.57x = 735,796.84
  5. Step 5: Solve for x
    x = 735,796.84/1,301.57
  6. Step 6: Final answer
    x = 565.31

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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.