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Finding the Fourth Proportional to 1,042.36, 1,437.94 and 711.56

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Solution

The fourth proportional to 1,042.36, 1,437.94 and 711.56 is: 981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.36 : 1,437.94 = 711.56 : x
  2. Step 2: Convert to fraction form
    1,042.36/1,437.94 = 711.56/x
  3. Step 3: Cross multiply
    1,042.36x = 1,437.94 × 711.56
  4. Step 4: Simplify right side
    1,042.36x = 1,023,180.59
  5. Step 5: Solve for x
    x = 1,023,180.59/1,042.36
  6. Step 6: Final answer
    x = 981.60

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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.