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Finding the Fourth Proportional to 946.70, 1,306.46 and 527.12

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Solution

The fourth proportional to 946.70, 1,306.46 and 527.12 is: 727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.70 : 1,306.46 = 527.12 : x
  2. Step 2: Convert to fraction form
    946.70/1,306.46 = 527.12/x
  3. Step 3: Cross multiply
    946.70x = 1,306.46 × 527.12
  4. Step 4: Simplify right side
    946.70x = 688,661.20
  5. Step 5: Solve for x
    x = 688,661.20/946.70
  6. Step 6: Final answer
    x = 727.43

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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.