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Finding the Fourth Proportional to 967.48, 1,449.33 and 761.10

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Solution

The fourth proportional to 967.48, 1,449.33 and 761.10 is: 1,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.48 : 1,449.33 = 761.10 : x
  2. Step 2: Convert to fraction form
    967.48/1,449.33 = 761.10/x
  3. Step 3: Cross multiply
    967.48x = 1,449.33 × 761.10
  4. Step 4: Simplify right side
    967.48x = 1,103,076.77
  5. Step 5: Solve for x
    x = 1,103,076.77/967.48
  6. Step 6: Final answer
    x = 1,140.16

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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.