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Finding the Fourth Proportional to 956.07, 1,434.31 and 545.20

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Solution

The fourth proportional to 956.07, 1,434.31 and 545.20 is: 817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.07 : 1,434.31 = 545.20 : x
  2. Step 2: Convert to fraction form
    956.07/1,434.31 = 545.20/x
  3. Step 3: Cross multiply
    956.07x = 1,434.31 × 545.20
  4. Step 4: Simplify right side
    956.07x = 781,980.86
  5. Step 5: Solve for x
    x = 781,980.86/956.07
  6. Step 6: Final answer
    x = 817.91

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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.