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Finding the Fourth Proportional to 1,060.75, 1,462.98 and 687.75

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Solution

The fourth proportional to 1,060.75, 1,462.98 and 687.75 is: 948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.75 : 1,462.98 = 687.75 : x
  2. Step 2: Convert to fraction form
    1,060.75/1,462.98 = 687.75/x
  3. Step 3: Cross multiply
    1,060.75x = 1,462.98 × 687.75
  4. Step 4: Simplify right side
    1,060.75x = 1,006,164.50
  5. Step 5: Solve for x
    x = 1,006,164.50/1,060.75
  6. Step 6: Final answer
    x = 948.54

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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.