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Finding the Fourth Proportional to 1,040.40, 1,435.68 and 598.41

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Solution

The fourth proportional to 1,040.40, 1,435.68 and 598.41 is: 825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.40 : 1,435.68 = 598.41 : x
  2. Step 2: Convert to fraction form
    1,040.40/1,435.68 = 598.41/x
  3. Step 3: Cross multiply
    1,040.40x = 1,435.68 × 598.41
  4. Step 4: Simplify right side
    1,040.40x = 859,125.27
  5. Step 5: Solve for x
    x = 859,125.27/1,040.40
  6. Step 6: Final answer
    x = 825.76

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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.