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Finding the Fourth Proportional to 813.79, 1,123.55 and 534.52

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Solution

The fourth proportional to 813.79, 1,123.55 and 534.52 is: 737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.79 : 1,123.55 = 534.52 : x
  2. Step 2: Convert to fraction form
    813.79/1,123.55 = 534.52/x
  3. Step 3: Cross multiply
    813.79x = 1,123.55 × 534.52
  4. Step 4: Simplify right side
    813.79x = 600,559.95
  5. Step 5: Solve for x
    x = 600,559.95/813.79
  6. Step 6: Final answer
    x = 737.98

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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.