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Finding the Fourth Proportional to 774.14, 1,068.45 and 512.15

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Solution

The fourth proportional to 774.14, 1,068.45 and 512.15 is: 706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.14 : 1,068.45 = 512.15 : x
  2. Step 2: Convert to fraction form
    774.14/1,068.45 = 512.15/x
  3. Step 3: Cross multiply
    774.14x = 1,068.45 × 512.15
  4. Step 4: Simplify right side
    774.14x = 547,206.67
  5. Step 5: Solve for x
    x = 547,206.67/774.14
  6. Step 6: Final answer
    x = 706.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.