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Finding the Fourth Proportional to 1,110.07, 1,661.44 and 988.57

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Solution

The fourth proportional to 1,110.07, 1,661.44 and 988.57 is: 1,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.07 : 1,661.44 = 988.57 : x
  2. Step 2: Convert to fraction form
    1,110.07/1,661.44 = 988.57/x
  3. Step 3: Cross multiply
    1,110.07x = 1,661.44 × 988.57
  4. Step 4: Simplify right side
    1,110.07x = 1,642,438.96
  5. Step 5: Solve for x
    x = 1,642,438.96/1,110.07
  6. Step 6: Final answer
    x = 1,479.59

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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.