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Finding the Fourth Proportional to 813.61, 1,123.04 and 464.53

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Solution

The fourth proportional to 813.61, 1,123.04 and 464.53 is: 641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.61 : 1,123.04 = 464.53 : x
  2. Step 2: Convert to fraction form
    813.61/1,123.04 = 464.53/x
  3. Step 3: Cross multiply
    813.61x = 1,123.04 × 464.53
  4. Step 4: Simplify right side
    813.61x = 521,685.77
  5. Step 5: Solve for x
    x = 521,685.77/813.61
  6. Step 6: Final answer
    x = 641.20

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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.