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Finding the Fourth Proportional to 1,040.45, 1,435.70 and 598.37

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Solution

The fourth proportional to 1,040.45, 1,435.70 and 598.37 is: 825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.45 : 1,435.70 = 598.37 : x
  2. Step 2: Convert to fraction form
    1,040.45/1,435.70 = 598.37/x
  3. Step 3: Cross multiply
    1,040.45x = 1,435.70 × 598.37
  4. Step 4: Simplify right side
    1,040.45x = 859,074.13
  5. Step 5: Solve for x
    x = 859,074.13/1,040.45
  6. Step 6: Final answer
    x = 825.68

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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.