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Finding the Fourth Proportional to 947.25, 1,306.57 and 592.55

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Solution

The fourth proportional to 947.25, 1,306.57 and 592.55 is: 817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.25 : 1,306.57 = 592.55 : x
  2. Step 2: Convert to fraction form
    947.25/1,306.57 = 592.55/x
  3. Step 3: Cross multiply
    947.25x = 1,306.57 × 592.55
  4. Step 4: Simplify right side
    947.25x = 774,214.48
  5. Step 5: Solve for x
    x = 774,214.48/947.25
  6. Step 6: Final answer
    x = 817.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.