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Finding the Fourth Proportional to 1,044.23, 1,441.19 and 602.06

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Solution

The fourth proportional to 1,044.23, 1,441.19 and 602.06 is: 830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.23 : 1,441.19 = 602.06 : x
  2. Step 2: Convert to fraction form
    1,044.23/1,441.19 = 602.06/x
  3. Step 3: Cross multiply
    1,044.23x = 1,441.19 × 602.06
  4. Step 4: Simplify right side
    1,044.23x = 867,682.85
  5. Step 5: Solve for x
    x = 867,682.85/1,044.23
  6. Step 6: Final answer
    x = 830.93

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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.