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Finding the Fourth Proportional to 1,044.42, 1,441.27 and 602.29

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Solution

The fourth proportional to 1,044.42, 1,441.27 and 602.29 is: 831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.42 : 1,441.27 = 602.29 : x
  2. Step 2: Convert to fraction form
    1,044.42/1,441.27 = 602.29/x
  3. Step 3: Cross multiply
    1,044.42x = 1,441.27 × 602.29
  4. Step 4: Simplify right side
    1,044.42x = 868,062.51
  5. Step 5: Solve for x
    x = 868,062.51/1,044.42
  6. Step 6: Final answer
    x = 831.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.