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Finding the Fourth Proportional to 1,019.35, 1,405.92 and 687.25

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Solution

The fourth proportional to 1,019.35, 1,405.92 and 687.25 is: 947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.35 : 1,405.92 = 687.25 : x
  2. Step 2: Convert to fraction form
    1,019.35/1,405.92 = 687.25/x
  3. Step 3: Cross multiply
    1,019.35x = 1,405.92 × 687.25
  4. Step 4: Simplify right side
    1,019.35x = 966,218.52
  5. Step 5: Solve for x
    x = 966,218.52/1,019.35
  6. Step 6: Final answer
    x = 947.88

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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.