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Finding the Fourth Proportional to 1,098.49, 1,515.93 and 601.15

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Solution

The fourth proportional to 1,098.49, 1,515.93 and 601.15 is: 829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.49 : 1,515.93 = 601.15 : x
  2. Step 2: Convert to fraction form
    1,098.49/1,515.93 = 601.15/x
  3. Step 3: Cross multiply
    1,098.49x = 1,515.93 × 601.15
  4. Step 4: Simplify right side
    1,098.49x = 911,301.32
  5. Step 5: Solve for x
    x = 911,301.32/1,098.49
  6. Step 6: Final answer
    x = 829.59

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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.