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Finding the Fourth Proportional to 1,078.84, 1,618.76 and 462.72

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Solution

The fourth proportional to 1,078.84, 1,618.76 and 462.72 is: 694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.84 : 1,618.76 = 462.72 : x
  2. Step 2: Convert to fraction form
    1,078.84/1,618.76 = 462.72/x
  3. Step 3: Cross multiply
    1,078.84x = 1,618.76 × 462.72
  4. Step 4: Simplify right side
    1,078.84x = 749,032.63
  5. Step 5: Solve for x
    x = 749,032.63/1,078.84
  6. Step 6: Final answer
    x = 694.29

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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.