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Finding the Fourth Proportional to 925.89, 1,277.66 and 527.50

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Solution

The fourth proportional to 925.89, 1,277.66 and 527.50 is: 727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.89 : 1,277.66 = 527.50 : x
  2. Step 2: Convert to fraction form
    925.89/1,277.66 = 527.50/x
  3. Step 3: Cross multiply
    925.89x = 1,277.66 × 527.50
  4. Step 4: Simplify right side
    925.89x = 673,967.63
  5. Step 5: Solve for x
    x = 673,967.63/925.89
  6. Step 6: Final answer
    x = 727.91

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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.