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Finding the Fourth Proportional to 1,275.49, 1,912.33 and 658.00

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Solution

The fourth proportional to 1,275.49, 1,912.33 and 658.00 is: 986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.49 : 1,912.33 = 658.00 : x
  2. Step 2: Convert to fraction form
    1,275.49/1,912.33 = 658.00/x
  3. Step 3: Cross multiply
    1,275.49x = 1,912.33 × 658.00
  4. Step 4: Simplify right side
    1,275.49x = 1,258,309.18
  5. Step 5: Solve for x
    x = 1,258,309.18/1,275.49
  6. Step 6: Final answer
    x = 986.53

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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.