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Finding the Fourth Proportional to 927.57, 1,280.06 and 507.94

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Solution

The fourth proportional to 927.57, 1,280.06 and 507.94 is: 700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.57 : 1,280.06 = 507.94 : x
  2. Step 2: Convert to fraction form
    927.57/1,280.06 = 507.94/x
  3. Step 3: Cross multiply
    927.57x = 1,280.06 × 507.94
  4. Step 4: Simplify right side
    927.57x = 650,193.68
  5. Step 5: Solve for x
    x = 650,193.68/927.57
  6. Step 6: Final answer
    x = 700.96

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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.