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Finding the Fourth Proportional to 1,215.83, 1,677.78 and 684.72

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Solution

The fourth proportional to 1,215.83, 1,677.78 and 684.72 is: 944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.83 : 1,677.78 = 684.72 : x
  2. Step 2: Convert to fraction form
    1,215.83/1,677.78 = 684.72/x
  3. Step 3: Cross multiply
    1,215.83x = 1,677.78 × 684.72
  4. Step 4: Simplify right side
    1,215.83x = 1,148,809.52
  5. Step 5: Solve for x
    x = 1,148,809.52/1,215.83
  6. Step 6: Final answer
    x = 944.88

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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.