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Finding the Fourth Proportional to 814.90, 1,124.05 and 535.15

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Solution

The fourth proportional to 814.90, 1,124.05 and 535.15 is: 738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.90 : 1,124.05 = 535.15 : x
  2. Step 2: Convert to fraction form
    814.90/1,124.05 = 535.15/x
  3. Step 3: Cross multiply
    814.90x = 1,124.05 × 535.15
  4. Step 4: Simplify right side
    814.90x = 601,535.36
  5. Step 5: Solve for x
    x = 601,535.36/814.90
  6. Step 6: Final answer
    x = 738.17

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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.