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Finding the Fourth Proportional to 946.80, 1,306.20 and 597.84

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Solution

The fourth proportional to 946.80, 1,306.20 and 597.84 is: 824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.80 : 1,306.20 = 597.84 : x
  2. Step 2: Convert to fraction form
    946.80/1,306.20 = 597.84/x
  3. Step 3: Cross multiply
    946.80x = 1,306.20 × 597.84
  4. Step 4: Simplify right side
    946.80x = 780,898.61
  5. Step 5: Solve for x
    x = 780,898.61/946.80
  6. Step 6: Final answer
    x = 824.78

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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.