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Finding the Fourth Proportional to 1,146.83, 1,721.01 and 992.53

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Solution

The fourth proportional to 1,146.83, 1,721.01 and 992.53 is: 1,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.83 : 1,721.01 = 992.53 : x
  2. Step 2: Convert to fraction form
    1,146.83/1,721.01 = 992.53/x
  3. Step 3: Cross multiply
    1,146.83x = 1,721.01 × 992.53
  4. Step 4: Simplify right side
    1,146.83x = 1,708,145.45
  5. Step 5: Solve for x
    x = 1,708,145.45/1,146.83
  6. Step 6: Final answer
    x = 1,489.45

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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.