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Finding the Fourth Proportional to 814.03, 1,123.45 and 515.34

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Solution

The fourth proportional to 814.03, 1,123.45 and 515.34 is: 711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.03 : 1,123.45 = 515.34 : x
  2. Step 2: Convert to fraction form
    814.03/1,123.45 = 515.34/x
  3. Step 3: Cross multiply
    814.03x = 1,123.45 × 515.34
  4. Step 4: Simplify right side
    814.03x = 578,957.43
  5. Step 5: Solve for x
    x = 578,957.43/814.03
  6. Step 6: Final answer
    x = 711.23

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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.