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Finding the Fourth Proportional to 1,301.59, 1,952.39 and 532.09

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Solution

The fourth proportional to 1,301.59, 1,952.39 and 532.09 is: 798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.59 : 1,952.39 = 532.09 : x
  2. Step 2: Convert to fraction form
    1,301.59/1,952.39 = 532.09/x
  3. Step 3: Cross multiply
    1,301.59x = 1,952.39 × 532.09
  4. Step 4: Simplify right side
    1,301.59x = 1,038,847.20
  5. Step 5: Solve for x
    x = 1,038,847.20/1,301.59
  6. Step 6: Final answer
    x = 798.14

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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.