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Finding the Fourth Proportional to 1,043.09, 1,442.16 and 997.19

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Solution

The fourth proportional to 1,043.09, 1,442.16 and 997.19 is: 1,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.09 : 1,442.16 = 997.19 : x
  2. Step 2: Convert to fraction form
    1,043.09/1,442.16 = 997.19/x
  3. Step 3: Cross multiply
    1,043.09x = 1,442.16 × 997.19
  4. Step 4: Simplify right side
    1,043.09x = 1,438,100.32
  5. Step 5: Solve for x
    x = 1,438,100.32/1,043.09
  6. Step 6: Final answer
    x = 1,378.70

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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.