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Finding the Fourth Proportional to 1,044.47, 1,441.43 and 602.40

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Solution

The fourth proportional to 1,044.47, 1,441.43 and 602.40 is: 831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.47 : 1,441.43 = 602.40 : x
  2. Step 2: Convert to fraction form
    1,044.47/1,441.43 = 602.40/x
  3. Step 3: Cross multiply
    1,044.47x = 1,441.43 × 602.40
  4. Step 4: Simplify right side
    1,044.47x = 868,317.36
  5. Step 5: Solve for x
    x = 868,317.36/1,044.47
  6. Step 6: Final answer
    x = 831.35

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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.