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Finding the Fourth Proportional to 946.93, 1,306.62 and 527.22

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Solution

The fourth proportional to 946.93, 1,306.62 and 527.22 is: 727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.93 : 1,306.62 = 527.22 : x
  2. Step 2: Convert to fraction form
    946.93/1,306.62 = 527.22/x
  3. Step 3: Cross multiply
    946.93x = 1,306.62 × 527.22
  4. Step 4: Simplify right side
    946.93x = 688,874.25
  5. Step 5: Solve for x
    x = 688,874.25/946.93
  6. Step 6: Final answer
    x = 727.49

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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.