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Finding the Fourth Proportional to 774.74, 1,162.86 and 486.74

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Solution

The fourth proportional to 774.74, 1,162.86 and 486.74 is: 730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.74 : 1,162.86 = 486.74 : x
  2. Step 2: Convert to fraction form
    774.74/1,162.86 = 486.74/x
  3. Step 3: Cross multiply
    774.74x = 1,162.86 × 486.74
  4. Step 4: Simplify right side
    774.74x = 566,010.48
  5. Step 5: Solve for x
    x = 566,010.48/774.74
  6. Step 6: Final answer
    x = 730.58

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Double scale
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1.5x scale

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.