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Finding the Fourth Proportional to 1,040.49, 1,435.68 and 598.32

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Solution

The fourth proportional to 1,040.49, 1,435.68 and 598.32 is: 825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.49 : 1,435.68 = 598.32 : x
  2. Step 2: Convert to fraction form
    1,040.49/1,435.68 = 598.32/x
  3. Step 3: Cross multiply
    1,040.49x = 1,435.68 × 598.32
  4. Step 4: Simplify right side
    1,040.49x = 858,996.06
  5. Step 5: Solve for x
    x = 858,996.06/1,040.49
  6. Step 6: Final answer
    x = 825.57

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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.