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Finding the Fourth Proportional to 1,128.69, 1,691.67 and 992.00

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Solution

The fourth proportional to 1,128.69, 1,691.67 and 992.00 is: 1,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.69 : 1,691.67 = 992.00 : x
  2. Step 2: Convert to fraction form
    1,128.69/1,691.67 = 992.00/x
  3. Step 3: Cross multiply
    1,128.69x = 1,691.67 × 992.00
  4. Step 4: Simplify right side
    1,128.69x = 1,678,141.74
  5. Step 5: Solve for x
    x = 1,678,141.74/1,128.69
  6. Step 6: Final answer
    x = 1,486.80

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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.