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Finding the Fourth Proportional to 749.41, 1,123.21 and 489.53

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Solution

The fourth proportional to 749.41, 1,123.21 and 489.53 is: 733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.41 : 1,123.21 = 489.53 : x
  2. Step 2: Convert to fraction form
    749.41/1,123.21 = 489.53/x
  3. Step 3: Cross multiply
    749.41x = 1,123.21 × 489.53
  4. Step 4: Simplify right side
    749.41x = 549,844.99
  5. Step 5: Solve for x
    x = 549,844.99/749.41
  6. Step 6: Final answer
    x = 733.70

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