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Finding the Fourth Proportional to 1,243.34, 1,865.31 and 695.90

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Solution

The fourth proportional to 1,243.34, 1,865.31 and 695.90 is: 1,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.34 : 1,865.31 = 695.90 : x
  2. Step 2: Convert to fraction form
    1,243.34/1,865.31 = 695.90/x
  3. Step 3: Cross multiply
    1,243.34x = 1,865.31 × 695.90
  4. Step 4: Simplify right side
    1,243.34x = 1,298,069.23
  5. Step 5: Solve for x
    x = 1,298,069.23/1,243.34
  6. Step 6: Final answer
    x = 1,044.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.