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Finding the Fourth Proportional to 732, 1,096.44 and 457.76

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Solution

The fourth proportional to 732, 1,096.44 and 457.76 is: 685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    732 : 1,096.44 = 457.76 : x
  2. Step 2: Convert to fraction form
    732/1,096.44 = 457.76/x
  3. Step 3: Cross multiply
    732x = 1,096.44 × 457.76
  4. Step 4: Simplify right side
    732x = 501,900.89
  5. Step 5: Solve for x
    x = 501,900.89/732
  6. Step 6: Final answer
    x = 685.66

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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.