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Finding the Fourth Proportional to 953.34, 1,429.38 and 542.31

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Solution

The fourth proportional to 953.34, 1,429.38 and 542.31 is: 813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.34 : 1,429.38 = 542.31 : x
  2. Step 2: Convert to fraction form
    953.34/1,429.38 = 542.31/x
  3. Step 3: Cross multiply
    953.34x = 1,429.38 × 542.31
  4. Step 4: Simplify right side
    953.34x = 775,167.07
  5. Step 5: Solve for x
    x = 775,167.07/953.34
  6. Step 6: Final answer
    x = 813.11

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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.