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Finding the Fourth Proportional to 956.47, 1,434.49 and 429.43

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Solution

The fourth proportional to 956.47, 1,434.49 and 429.43 is: 644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.47 : 1,434.49 = 429.43 : x
  2. Step 2: Convert to fraction form
    956.47/1,434.49 = 429.43/x
  3. Step 3: Cross multiply
    956.47x = 1,434.49 × 429.43
  4. Step 4: Simplify right side
    956.47x = 616,013.04
  5. Step 5: Solve for x
    x = 616,013.04/956.47
  6. Step 6: Final answer
    x = 644.05

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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.