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Finding the Fourth Proportional to 1,044.82, 1,442.07 and 602.66

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Solution

The fourth proportional to 1,044.82, 1,442.07 and 602.66 is: 831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.82 : 1,442.07 = 602.66 : x
  2. Step 2: Convert to fraction form
    1,044.82/1,442.07 = 602.66/x
  3. Step 3: Cross multiply
    1,044.82x = 1,442.07 × 602.66
  4. Step 4: Simplify right side
    1,044.82x = 869,079.25
  5. Step 5: Solve for x
    x = 869,079.25/1,044.82
  6. Step 6: Final answer
    x = 831.80

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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.