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Finding the Fourth Proportional to 931.88, 1,397.88 and 411.80

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Solution

The fourth proportional to 931.88, 1,397.88 and 411.80 is: 617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.88 : 1,397.88 = 411.80 : x
  2. Step 2: Convert to fraction form
    931.88/1,397.88 = 411.80/x
  3. Step 3: Cross multiply
    931.88x = 1,397.88 × 411.80
  4. Step 4: Simplify right side
    931.88x = 575,646.98
  5. Step 5: Solve for x
    x = 575,646.98/931.88
  6. Step 6: Final answer
    x = 617.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.