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Finding the Fourth Proportional to 1,060.19, 1,463.51 and 993.77

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Solution

The fourth proportional to 1,060.19, 1,463.51 and 993.77 is: 1,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.19 : 1,463.51 = 993.77 : x
  2. Step 2: Convert to fraction form
    1,060.19/1,463.51 = 993.77/x
  3. Step 3: Cross multiply
    1,060.19x = 1,463.51 × 993.77
  4. Step 4: Simplify right side
    1,060.19x = 1,454,387.50
  5. Step 5: Solve for x
    x = 1,454,387.50/1,060.19
  6. Step 6: Final answer
    x = 1,371.82

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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.