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Finding the Fourth Proportional to 813.90, 1,123.01 and 515.24

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Solution

The fourth proportional to 813.90, 1,123.01 and 515.24 is: 710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.90 : 1,123.01 = 515.24 : x
  2. Step 2: Convert to fraction form
    813.90/1,123.01 = 515.24/x
  3. Step 3: Cross multiply
    813.90x = 1,123.01 × 515.24
  4. Step 4: Simplify right side
    813.90x = 578,616.86
  5. Step 5: Solve for x
    x = 578,616.86/813.90
  6. Step 6: Final answer
    x = 710.92

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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.