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Finding the Fourth Proportional to 732.64, 1,097.74 and 515.84

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Solution

The fourth proportional to 732.64, 1,097.74 and 515.84 is: 772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.64 : 1,097.74 = 515.84 : x
  2. Step 2: Convert to fraction form
    732.64/1,097.74 = 515.84/x
  3. Step 3: Cross multiply
    732.64x = 1,097.74 × 515.84
  4. Step 4: Simplify right side
    732.64x = 566,258.20
  5. Step 5: Solve for x
    x = 566,258.20/732.64
  6. Step 6: Final answer
    x = 772.90

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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.