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Finding the Fourth Proportional to 934.84, 1,402.64 and 472.75

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Solution

The fourth proportional to 934.84, 1,402.64 and 472.75 is: 709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.84 : 1,402.64 = 472.75 : x
  2. Step 2: Convert to fraction form
    934.84/1,402.64 = 472.75/x
  3. Step 3: Cross multiply
    934.84x = 1,402.64 × 472.75
  4. Step 4: Simplify right side
    934.84x = 663,098.06
  5. Step 5: Solve for x
    x = 663,098.06/934.84
  6. Step 6: Final answer
    x = 709.32

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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.