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Finding the Fourth Proportional to 1,365.42, 2,046.90 and 499.53

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Solution

The fourth proportional to 1,365.42, 2,046.90 and 499.53 is: 748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.42 : 2,046.90 = 499.53 : x
  2. Step 2: Convert to fraction form
    1,365.42/2,046.90 = 499.53/x
  3. Step 3: Cross multiply
    1,365.42x = 2,046.90 × 499.53
  4. Step 4: Simplify right side
    1,365.42x = 1,022,487.96
  5. Step 5: Solve for x
    x = 1,022,487.96/1,365.42
  6. Step 6: Final answer
    x = 748.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.