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Finding the Fourth Proportional to 967.59, 1,448.52 and 725.19

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Solution

The fourth proportional to 967.59, 1,448.52 and 725.19 is: 1,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.59 : 1,448.52 = 725.19 : x
  2. Step 2: Convert to fraction form
    967.59/1,448.52 = 725.19/x
  3. Step 3: Cross multiply
    967.59x = 1,448.52 × 725.19
  4. Step 4: Simplify right side
    967.59x = 1,050,452.22
  5. Step 5: Solve for x
    x = 1,050,452.22/967.59
  6. Step 6: Final answer
    x = 1,085.64

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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.