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Finding the Fourth Proportional to 1,074.29, 1,483.19 and 825.13

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Solution

The fourth proportional to 1,074.29, 1,483.19 and 825.13 is: 1,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.29 : 1,483.19 = 825.13 : x
  2. Step 2: Convert to fraction form
    1,074.29/1,483.19 = 825.13/x
  3. Step 3: Cross multiply
    1,074.29x = 1,483.19 × 825.13
  4. Step 4: Simplify right side
    1,074.29x = 1,223,816.73
  5. Step 5: Solve for x
    x = 1,223,816.73/1,074.29
  6. Step 6: Final answer
    x = 1,139.18

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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.