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Finding the Fourth Proportional to 934.61, 1,402.52 and 472.77

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Solution

The fourth proportional to 934.61, 1,402.52 and 472.77 is: 709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.61 : 1,402.52 = 472.77 : x
  2. Step 2: Convert to fraction form
    934.61/1,402.52 = 472.77/x
  3. Step 3: Cross multiply
    934.61x = 1,402.52 × 472.77
  4. Step 4: Simplify right side
    934.61x = 663,067.02
  5. Step 5: Solve for x
    x = 663,067.02/934.61
  6. Step 6: Final answer
    x = 709.46

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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.