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Finding the Fourth Proportional to 1,044.24, 1,440.72 and 602.08

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Solution

The fourth proportional to 1,044.24, 1,440.72 and 602.08 is: 830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.24 : 1,440.72 = 602.08 : x
  2. Step 2: Convert to fraction form
    1,044.24/1,440.72 = 602.08/x
  3. Step 3: Cross multiply
    1,044.24x = 1,440.72 × 602.08
  4. Step 4: Simplify right side
    1,044.24x = 867,425.10
  5. Step 5: Solve for x
    x = 867,425.10/1,044.24
  6. Step 6: Final answer
    x = 830.68

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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.