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Finding the Fourth Proportional to 1,040.91, 1,436.45 and 598.80

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Solution

The fourth proportional to 1,040.91, 1,436.45 and 598.80 is: 826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.91 : 1,436.45 = 598.80 : x
  2. Step 2: Convert to fraction form
    1,040.91/1,436.45 = 598.80/x
  3. Step 3: Cross multiply
    1,040.91x = 1,436.45 × 598.80
  4. Step 4: Simplify right side
    1,040.91x = 860,143.27
  5. Step 5: Solve for x
    x = 860,143.27/1,040.91
  6. Step 6: Final answer
    x = 826.34

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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.