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Finding the Fourth Proportional to 803.50, 1,109.07 and 508.86

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Solution

The fourth proportional to 803.50, 1,109.07 and 508.86 is: 702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.50 : 1,109.07 = 508.86 : x
  2. Step 2: Convert to fraction form
    803.50/1,109.07 = 508.86/x
  3. Step 3: Cross multiply
    803.50x = 1,109.07 × 508.86
  4. Step 4: Simplify right side
    803.50x = 564,361.36
  5. Step 5: Solve for x
    x = 564,361.36/803.50
  6. Step 6: Final answer
    x = 702.38

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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.