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Finding the Fourth Proportional to 814.68, 1,123.76 and 500.00

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Solution

The fourth proportional to 814.68, 1,123.76 and 500.00 is: 689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.68 : 1,123.76 = 500.00 : x
  2. Step 2: Convert to fraction form
    814.68/1,123.76 = 500.00/x
  3. Step 3: Cross multiply
    814.68x = 1,123.76 × 500.00
  4. Step 4: Simplify right side
    814.68x = 561,871.88
  5. Step 5: Solve for x
    x = 561,871.88/814.68
  6. Step 6: Final answer
    x = 689.68

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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.