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Finding the Fourth Proportional to 1,126.61, 1,553.68 and 790.36

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Solution

The fourth proportional to 1,126.61, 1,553.68 and 790.36 is: 1,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.61 : 1,553.68 = 790.36 : x
  2. Step 2: Convert to fraction form
    1,126.61/1,553.68 = 790.36/x
  3. Step 3: Cross multiply
    1,126.61x = 1,553.68 × 790.36
  4. Step 4: Simplify right side
    1,126.61x = 1,227,963.63
  5. Step 5: Solve for x
    x = 1,227,963.63/1,126.61
  6. Step 6: Final answer
    x = 1,089.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.