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Finding the Fourth Proportional to 1,078.00, 1,616.66 and 714.71

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Solution

The fourth proportional to 1,078.00, 1,616.66 and 714.71 is: 1,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.00 : 1,616.66 = 714.71 : x
  2. Step 2: Convert to fraction form
    1,078.00/1,616.66 = 714.71/x
  3. Step 3: Cross multiply
    1,078.00x = 1,616.66 × 714.71
  4. Step 4: Simplify right side
    1,078.00x = 1,155,449.58
  5. Step 5: Solve for x
    x = 1,155,449.58/1,078.00
  6. Step 6: Final answer
    x = 1,071.85

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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.