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Finding the Fourth Proportional to 810.43, 1,215.15 and 580.78

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Solution

The fourth proportional to 810.43, 1,215.15 and 580.78 is: 870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.43 : 1,215.15 = 580.78 : x
  2. Step 2: Convert to fraction form
    810.43/1,215.15 = 580.78/x
  3. Step 3: Cross multiply
    810.43x = 1,215.15 × 580.78
  4. Step 4: Simplify right side
    810.43x = 705,734.82
  5. Step 5: Solve for x
    x = 705,734.82/810.43
  6. Step 6: Final answer
    x = 870.82

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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.