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Finding the Fourth Proportional to 1,098.52, 1,515.44 and 632.52

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Solution

The fourth proportional to 1,098.52, 1,515.44 and 632.52 is: 872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.52 : 1,515.44 = 632.52 : x
  2. Step 2: Convert to fraction form
    1,098.52/1,515.44 = 632.52/x
  3. Step 3: Cross multiply
    1,098.52x = 1,515.44 × 632.52
  4. Step 4: Simplify right side
    1,098.52x = 958,546.11
  5. Step 5: Solve for x
    x = 958,546.11/1,098.52
  6. Step 6: Final answer
    x = 872.58

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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.