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Finding the Fourth Proportional to 1,141.86, 1,574.73 and 749.10

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Solution

The fourth proportional to 1,141.86, 1,574.73 and 749.10 is: 1,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.86 : 1,574.73 = 749.10 : x
  2. Step 2: Convert to fraction form
    1,141.86/1,574.73 = 749.10/x
  3. Step 3: Cross multiply
    1,141.86x = 1,574.73 × 749.10
  4. Step 4: Simplify right side
    1,141.86x = 1,179,630.24
  5. Step 5: Solve for x
    x = 1,179,630.24/1,141.86
  6. Step 6: Final answer
    x = 1,033.08

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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.