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Finding the Fourth Proportional to 1,097.40, 1,631.98 and 1,062.79

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Solution

The fourth proportional to 1,097.40, 1,631.98 and 1,062.79 is: 1,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.40 : 1,631.98 = 1,062.79 : x
  2. Step 2: Convert to fraction form
    1,097.40/1,631.98 = 1,062.79/x
  3. Step 3: Cross multiply
    1,097.40x = 1,631.98 × 1,062.79
  4. Step 4: Simplify right side
    1,097.40x = 1,734,445.29
  5. Step 5: Solve for x
    x = 1,734,445.29/1,097.40
  6. Step 6: Final answer
    x = 1,580.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.