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Finding the Fourth Proportional to 1,151.01, 1,726.52 and 992.45

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Solution

The fourth proportional to 1,151.01, 1,726.52 and 992.45 is: 1,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.01 : 1,726.52 = 992.45 : x
  2. Step 2: Convert to fraction form
    1,151.01/1,726.52 = 992.45/x
  3. Step 3: Cross multiply
    1,151.01x = 1,726.52 × 992.45
  4. Step 4: Simplify right side
    1,151.01x = 1,713,484.13
  5. Step 5: Solve for x
    x = 1,713,484.13/1,151.01
  6. Step 6: Final answer
    x = 1,488.68

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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.