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Finding the Fourth Proportional to 1,042.56, 1,440.06 and 918.66

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Solution

The fourth proportional to 1,042.56, 1,440.06 and 918.66 is: 1,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.56 : 1,440.06 = 918.66 : x
  2. Step 2: Convert to fraction form
    1,042.56/1,440.06 = 918.66/x
  3. Step 3: Cross multiply
    1,042.56x = 1,440.06 × 918.66
  4. Step 4: Simplify right side
    1,042.56x = 1,322,925.52
  5. Step 5: Solve for x
    x = 1,322,925.52/1,042.56
  6. Step 6: Final answer
    x = 1,268.92

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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.