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Finding the Fourth Proportional to 718.75, 1,077.18 and 521.75

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Solution

The fourth proportional to 718.75, 1,077.18 and 521.75 is: 781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.75 : 1,077.18 = 521.75 : x
  2. Step 2: Convert to fraction form
    718.75/1,077.18 = 521.75/x
  3. Step 3: Cross multiply
    718.75x = 1,077.18 × 521.75
  4. Step 4: Simplify right side
    718.75x = 562,016.28
  5. Step 5: Solve for x
    x = 562,016.28/718.75
  6. Step 6: Final answer
    x = 781.94

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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.