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Finding the Fourth Proportional to 1,098.34, 1,515.84 and 656.48

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Solution

The fourth proportional to 1,098.34, 1,515.84 and 656.48 is: 906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.34 : 1,515.84 = 656.48 : x
  2. Step 2: Convert to fraction form
    1,098.34/1,515.84 = 656.48/x
  3. Step 3: Cross multiply
    1,098.34x = 1,515.84 × 656.48
  4. Step 4: Simplify right side
    1,098.34x = 995,118.64
  5. Step 5: Solve for x
    x = 995,118.64/1,098.34
  6. Step 6: Final answer
    x = 906.02

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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.