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Finding the Fourth Proportional to 934.55, 1,402.69 and 472.65

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Solution

The fourth proportional to 934.55, 1,402.69 and 472.65 is: 709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.55 : 1,402.69 = 472.65 : x
  2. Step 2: Convert to fraction form
    934.55/1,402.69 = 472.65/x
  3. Step 3: Cross multiply
    934.55x = 1,402.69 × 472.65
  4. Step 4: Simplify right side
    934.55x = 662,979.07
  5. Step 5: Solve for x
    x = 662,979.07/934.55
  6. Step 6: Final answer
    x = 709.41

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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.