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Finding the Fourth Proportional to 777.12, 1,073.82 and 578.76

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Solution

The fourth proportional to 777.12, 1,073.82 and 578.76 is: 799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.12 : 1,073.82 = 578.76 : x
  2. Step 2: Convert to fraction form
    777.12/1,073.82 = 578.76/x
  3. Step 3: Cross multiply
    777.12x = 1,073.82 × 578.76
  4. Step 4: Simplify right side
    777.12x = 621,484.06
  5. Step 5: Solve for x
    x = 621,484.06/777.12
  6. Step 6: Final answer
    x = 799.73

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Double scale
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1.5x scale

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.