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Finding the Fourth Proportional to 939.77, 1,407.86 and 527.66

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Solution

The fourth proportional to 939.77, 1,407.86 and 527.66 is: 790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.77 : 1,407.86 = 527.66 : x
  2. Step 2: Convert to fraction form
    939.77/1,407.86 = 527.66/x
  3. Step 3: Cross multiply
    939.77x = 1,407.86 × 527.66
  4. Step 4: Simplify right side
    939.77x = 742,861.73
  5. Step 5: Solve for x
    x = 742,861.73/939.77
  6. Step 6: Final answer
    x = 790.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.