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Finding the Fourth Proportional to 925.48, 1,276.88 and 527.11

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Solution

The fourth proportional to 925.48, 1,276.88 and 527.11 is: 727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.48 : 1,276.88 = 527.11 : x
  2. Step 2: Convert to fraction form
    925.48/1,276.88 = 527.11/x
  3. Step 3: Cross multiply
    925.48x = 1,276.88 × 527.11
  4. Step 4: Simplify right side
    925.48x = 673,056.22
  5. Step 5: Solve for x
    x = 673,056.22/925.48
  6. Step 6: Final answer
    x = 727.25

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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.