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Finding the Fourth Proportional to 931.52, 1,396.13 and 410.96

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Solution

The fourth proportional to 931.52, 1,396.13 and 410.96 is: 615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.52 : 1,396.13 = 410.96 : x
  2. Step 2: Convert to fraction form
    931.52/1,396.13 = 410.96/x
  3. Step 3: Cross multiply
    931.52x = 1,396.13 × 410.96
  4. Step 4: Simplify right side
    931.52x = 573,744.55
  5. Step 5: Solve for x
    x = 573,744.55/931.52
  6. Step 6: Final answer
    x = 615.93

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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.