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Finding the Fourth Proportional to 1,098.44, 1,515.84 and 601.07

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Solution

The fourth proportional to 1,098.44, 1,515.84 and 601.07 is: 829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.44 : 1,515.84 = 601.07 : x
  2. Step 2: Convert to fraction form
    1,098.44/1,515.84 = 601.07/x
  3. Step 3: Cross multiply
    1,098.44x = 1,515.84 × 601.07
  4. Step 4: Simplify right side
    1,098.44x = 911,126.33
  5. Step 5: Solve for x
    x = 911,126.33/1,098.44
  6. Step 6: Final answer
    x = 829.48

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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.