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Finding the Fourth Proportional to 913.88, 1,261.15 and 499.88

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Solution

The fourth proportional to 913.88, 1,261.15 and 499.88 is: 689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.88 : 1,261.15 = 499.88 : x
  2. Step 2: Convert to fraction form
    913.88/1,261.15 = 499.88/x
  3. Step 3: Cross multiply
    913.88x = 1,261.15 × 499.88
  4. Step 4: Simplify right side
    913.88x = 630,423.66
  5. Step 5: Solve for x
    x = 630,423.66/913.88
  6. Step 6: Final answer
    x = 689.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.