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Finding the Fourth Proportional to 1,078.49, 1,618.14 and 645.95

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Solution

The fourth proportional to 1,078.49, 1,618.14 and 645.95 is: 969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.49 : 1,618.14 = 645.95 : x
  2. Step 2: Convert to fraction form
    1,078.49/1,618.14 = 645.95/x
  3. Step 3: Cross multiply
    1,078.49x = 1,618.14 × 645.95
  4. Step 4: Simplify right side
    1,078.49x = 1,045,237.53
  5. Step 5: Solve for x
    x = 1,045,237.53/1,078.49
  6. Step 6: Final answer
    x = 969.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.