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Finding the Fourth Proportional to 779.38, 1,165.86 and 710.95

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Solution

The fourth proportional to 779.38, 1,165.86 and 710.95 is: 1,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.38 : 1,165.86 = 710.95 : x
  2. Step 2: Convert to fraction form
    779.38/1,165.86 = 710.95/x
  3. Step 3: Cross multiply
    779.38x = 1,165.86 × 710.95
  4. Step 4: Simplify right side
    779.38x = 828,867.30
  5. Step 5: Solve for x
    x = 828,867.30/779.38
  6. Step 6: Final answer
    x = 1,063.50

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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.