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Finding the Fourth Proportional to 868.61, 1,297.23 and 695.54

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Solution

The fourth proportional to 868.61, 1,297.23 and 695.54 is: 1,038.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.61 : 1,297.23 = 695.54 : x
  2. Step 2: Convert to fraction form
    868.61/1,297.23 = 695.54/x
  3. Step 3: Cross multiply
    868.61x = 1,297.23 × 695.54
  4. Step 4: Simplify right side
    868.61x = 902,268.87
  5. Step 5: Solve for x
    x = 902,268.87/868.61
  6. Step 6: Final answer
    x = 1,038.76

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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.