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Finding the Fourth Proportional to 1,097.20, 1,513.83 and 631.45

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Solution

The fourth proportional to 1,097.20, 1,513.83 and 631.45 is: 871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.20 : 1,513.83 = 631.45 : x
  2. Step 2: Convert to fraction form
    1,097.20/1,513.83 = 631.45/x
  3. Step 3: Cross multiply
    1,097.20x = 1,513.83 × 631.45
  4. Step 4: Simplify right side
    1,097.20x = 955,907.95
  5. Step 5: Solve for x
    x = 955,907.95/1,097.20
  6. Step 6: Final answer
    x = 871.22

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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.