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Finding the Fourth Proportional to 1,150.98, 1,718.27 and 1,110.48

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Solution

The fourth proportional to 1,150.98, 1,718.27 and 1,110.48 is: 1,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.98 : 1,718.27 = 1,110.48 : x
  2. Step 2: Convert to fraction form
    1,150.98/1,718.27 = 1,110.48/x
  3. Step 3: Cross multiply
    1,150.98x = 1,718.27 × 1,110.48
  4. Step 4: Simplify right side
    1,150.98x = 1,908,098.92
  5. Step 5: Solve for x
    x = 1,908,098.92/1,150.98
  6. Step 6: Final answer
    x = 1,657.80

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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.