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Finding the Fourth Proportional to 946.67, 1,306.32 and 532.67

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Solution

The fourth proportional to 946.67, 1,306.32 and 532.67 is: 735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.67 : 1,306.32 = 532.67 : x
  2. Step 2: Convert to fraction form
    946.67/1,306.32 = 532.67/x
  3. Step 3: Cross multiply
    946.67x = 1,306.32 × 532.67
  4. Step 4: Simplify right side
    946.67x = 695,837.47
  5. Step 5: Solve for x
    x = 695,837.47/946.67
  6. Step 6: Final answer
    x = 735.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.