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Finding the Fourth Proportional to 1,078.40, 1,616.78 and 493.00

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Solution

The fourth proportional to 1,078.40, 1,616.78 and 493.00 is: 739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.40 : 1,616.78 = 493.00 : x
  2. Step 2: Convert to fraction form
    1,078.40/1,616.78 = 493.00/x
  3. Step 3: Cross multiply
    1,078.40x = 1,616.78 × 493.00
  4. Step 4: Simplify right side
    1,078.40x = 797,061.99
  5. Step 5: Solve for x
    x = 797,061.99/1,078.40
  6. Step 6: Final answer
    x = 739.12

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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.