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Finding the Fourth Proportional to 1,110.68, 1,532.22 and 830.44

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Solution

The fourth proportional to 1,110.68, 1,532.22 and 830.44 is: 1,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.68 : 1,532.22 = 830.44 : x
  2. Step 2: Convert to fraction form
    1,110.68/1,532.22 = 830.44/x
  3. Step 3: Cross multiply
    1,110.68x = 1,532.22 × 830.44
  4. Step 4: Simplify right side
    1,110.68x = 1,272,416.78
  5. Step 5: Solve for x
    x = 1,272,416.78/1,110.68
  6. Step 6: Final answer
    x = 1,145.62

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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.