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Finding the Fourth Proportional to 946.77, 1,306.63 and 527.11

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Solution

The fourth proportional to 946.77, 1,306.63 and 527.11 is: 727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.77 : 1,306.63 = 527.11 : x
  2. Step 2: Convert to fraction form
    946.77/1,306.63 = 527.11/x
  3. Step 3: Cross multiply
    946.77x = 1,306.63 × 527.11
  4. Step 4: Simplify right side
    946.77x = 688,736.42
  5. Step 5: Solve for x
    x = 688,736.42/946.77
  6. Step 6: Final answer
    x = 727.46

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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.