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Finding the Fourth Proportional to 1,110.90, 1,531.33 and 830.71

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Solution

The fourth proportional to 1,110.90, 1,531.33 and 830.71 is: 1,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.90 : 1,531.33 = 830.71 : x
  2. Step 2: Convert to fraction form
    1,110.90/1,531.33 = 830.71/x
  3. Step 3: Cross multiply
    1,110.90x = 1,531.33 × 830.71
  4. Step 4: Simplify right side
    1,110.90x = 1,272,091.14
  5. Step 5: Solve for x
    x = 1,272,091.14/1,110.90
  6. Step 6: Final answer
    x = 1,145.10

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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.