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Finding the Fourth Proportional to 1,330.77, 1,982.78 and 1,256.25

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Solution

The fourth proportional to 1,330.77, 1,982.78 and 1,256.25 is: 1,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.77 : 1,982.78 = 1,256.25 : x
  2. Step 2: Convert to fraction form
    1,330.77/1,982.78 = 1,256.25/x
  3. Step 3: Cross multiply
    1,330.77x = 1,982.78 × 1,256.25
  4. Step 4: Simplify right side
    1,330.77x = 2,490,870.52
  5. Step 5: Solve for x
    x = 2,490,870.52/1,330.77
  6. Step 6: Final answer
    x = 1,871.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.