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Finding the Fourth Proportional to 896.80, 1,345.65 and 829.13

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Solution

The fourth proportional to 896.80, 1,345.65 and 829.13 is: 1,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.80 : 1,345.65 = 829.13 : x
  2. Step 2: Convert to fraction form
    896.80/1,345.65 = 829.13/x
  3. Step 3: Cross multiply
    896.80x = 1,345.65 × 829.13
  4. Step 4: Simplify right side
    896.80x = 1,115,718.78
  5. Step 5: Solve for x
    x = 1,115,718.78/896.80
  6. Step 6: Final answer
    x = 1,244.11

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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.