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Finding the Fourth Proportional to 1,042.09, 1,432.21 and 1,012.93

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Solution

The fourth proportional to 1,042.09, 1,432.21 and 1,012.93 is: 1,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.09 : 1,432.21 = 1,012.93 : x
  2. Step 2: Convert to fraction form
    1,042.09/1,432.21 = 1,012.93/x
  3. Step 3: Cross multiply
    1,042.09x = 1,432.21 × 1,012.93
  4. Step 4: Simplify right side
    1,042.09x = 1,450,728.48
  5. Step 5: Solve for x
    x = 1,450,728.48/1,042.09
  6. Step 6: Final answer
    x = 1,392.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.