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Finding the Fourth Proportional to 803.68, 1,109.16 and 508.98

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Solution

The fourth proportional to 803.68, 1,109.16 and 508.98 is: 702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.68 : 1,109.16 = 508.98 : x
  2. Step 2: Convert to fraction form
    803.68/1,109.16 = 508.98/x
  3. Step 3: Cross multiply
    803.68x = 1,109.16 × 508.98
  4. Step 4: Simplify right side
    803.68x = 564,540.26
  5. Step 5: Solve for x
    x = 564,540.26/803.68
  6. Step 6: Final answer
    x = 702.44

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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.