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Finding the Fourth Proportional to 927.65, 1,280.10 and 507.92

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Solution

The fourth proportional to 927.65, 1,280.10 and 507.92 is: 700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.65 : 1,280.10 = 507.92 : x
  2. Step 2: Convert to fraction form
    927.65/1,280.10 = 507.92/x
  3. Step 3: Cross multiply
    927.65x = 1,280.10 × 507.92
  4. Step 4: Simplify right side
    927.65x = 650,180.72
  5. Step 5: Solve for x
    x = 650,180.72/927.65
  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.