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Finding the Fourth Proportional to 814.79, 1,123.02 and 637.40

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Solution

The fourth proportional to 814.79, 1,123.02 and 637.40 is: 878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.79 : 1,123.02 = 637.40 : x
  2. Step 2: Convert to fraction form
    814.79/1,123.02 = 637.40/x
  3. Step 3: Cross multiply
    814.79x = 1,123.02 × 637.40
  4. Step 4: Simplify right side
    814.79x = 715,807.33
  5. Step 5: Solve for x
    x = 715,807.33/814.79
  6. Step 6: Final answer
    x = 878.52

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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.