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Finding the Fourth Proportional to 1,048.58, 1,444.89 and 861.47

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Solution

The fourth proportional to 1,048.58, 1,444.89 and 861.47 is: 1,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.58 : 1,444.89 = 861.47 : x
  2. Step 2: Convert to fraction form
    1,048.58/1,444.89 = 861.47/x
  3. Step 3: Cross multiply
    1,048.58x = 1,444.89 × 861.47
  4. Step 4: Simplify right side
    1,048.58x = 1,244,717.86
  5. Step 5: Solve for x
    x = 1,244,717.86/1,048.58
  6. Step 6: Final answer
    x = 1,187.06

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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.