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Finding the Fourth Proportional to 1,044.21, 1,441.26 and 602.40

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Solution

The fourth proportional to 1,044.21, 1,441.26 and 602.40 is: 831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.21 : 1,441.26 = 602.40 : x
  2. Step 2: Convert to fraction form
    1,044.21/1,441.26 = 602.40/x
  3. Step 3: Cross multiply
    1,044.21x = 1,441.26 × 602.40
  4. Step 4: Simplify right side
    1,044.21x = 868,215.02
  5. Step 5: Solve for x
    x = 868,215.02/1,044.21
  6. Step 6: Final answer
    x = 831.46

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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.