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Finding the Fourth Proportional to 927.54, 1,280.05 and 507.87

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Solution

The fourth proportional to 927.54, 1,280.05 and 507.87 is: 700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.54 : 1,280.05 = 507.87 : x
  2. Step 2: Convert to fraction form
    927.54/1,280.05 = 507.87/x
  3. Step 3: Cross multiply
    927.54x = 1,280.05 × 507.87
  4. Step 4: Simplify right side
    927.54x = 650,098.99
  5. Step 5: Solve for x
    x = 650,098.99/927.54
  6. Step 6: Final answer
    x = 700.89

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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.