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Finding the Fourth Proportional to 1,039.92, 1,548.53 and 986.46

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Solution

The fourth proportional to 1,039.92, 1,548.53 and 986.46 is: 1,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.92 : 1,548.53 = 986.46 : x
  2. Step 2: Convert to fraction form
    1,039.92/1,548.53 = 986.46/x
  3. Step 3: Cross multiply
    1,039.92x = 1,548.53 × 986.46
  4. Step 4: Simplify right side
    1,039.92x = 1,527,557.97
  5. Step 5: Solve for x
    x = 1,527,557.97/1,039.92
  6. Step 6: Final answer
    x = 1,468.92

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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.