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Finding the Fourth Proportional to 1,097.49, 1,512.50 and 899.85

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Solution

The fourth proportional to 1,097.49, 1,512.50 and 899.85 is: 1,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.49 : 1,512.50 = 899.85 : x
  2. Step 2: Convert to fraction form
    1,097.49/1,512.50 = 899.85/x
  3. Step 3: Cross multiply
    1,097.49x = 1,512.50 × 899.85
  4. Step 4: Simplify right side
    1,097.49x = 1,361,018.63
  5. Step 5: Solve for x
    x = 1,361,018.63/1,097.49
  6. Step 6: Final answer
    x = 1,240.12

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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.