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Finding the Fourth Proportional to 813.89, 1,123.47 and 534.19

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Solution

The fourth proportional to 813.89, 1,123.47 and 534.19 is: 737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.89 : 1,123.47 = 534.19 : x
  2. Step 2: Convert to fraction form
    813.89/1,123.47 = 534.19/x
  3. Step 3: Cross multiply
    813.89x = 1,123.47 × 534.19
  4. Step 4: Simplify right side
    813.89x = 600,143.77
  5. Step 5: Solve for x
    x = 600,143.77/813.89
  6. Step 6: Final answer
    x = 737.38

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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.