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Finding the Fourth Proportional to 810.07, 1,216.32 and 781.72

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Solution

The fourth proportional to 810.07, 1,216.32 and 781.72 is: 1,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.07 : 1,216.32 = 781.72 : x
  2. Step 2: Convert to fraction form
    810.07/1,216.32 = 781.72/x
  3. Step 3: Cross multiply
    810.07x = 1,216.32 × 781.72
  4. Step 4: Simplify right side
    810.07x = 950,815.70
  5. Step 5: Solve for x
    x = 950,815.70/810.07
  6. Step 6: Final answer
    x = 1,173.75

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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.