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Finding the Fourth Proportional to 927.66, 1,280.17 and 508.03

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Solution

The fourth proportional to 927.66, 1,280.17 and 508.03 is: 701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.66 : 1,280.17 = 508.03 : x
  2. Step 2: Convert to fraction form
    927.66/1,280.17 = 508.03/x
  3. Step 3: Cross multiply
    927.66x = 1,280.17 × 508.03
  4. Step 4: Simplify right side
    927.66x = 650,364.77
  5. Step 5: Solve for x
    x = 650,364.77/927.66
  6. Step 6: Final answer
    x = 701.08

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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.