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Finding the Fourth Proportional to 1,215.77, 1,820.90 and 565.13

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Solution

The fourth proportional to 1,215.77, 1,820.90 and 565.13 is: 846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.77 : 1,820.90 = 565.13 : x
  2. Step 2: Convert to fraction form
    1,215.77/1,820.90 = 565.13/x
  3. Step 3: Cross multiply
    1,215.77x = 1,820.90 × 565.13
  4. Step 4: Simplify right side
    1,215.77x = 1,029,033.29
  5. Step 5: Solve for x
    x = 1,029,033.29/1,215.77
  6. Step 6: Final answer
    x = 846.41

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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.