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Finding the Fourth Proportional to 3,265.93, 4,898.90 and 800.76

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Solution

The fourth proportional to 3,265.93, 4,898.90 and 800.76 is: 1,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.93 : 4,898.90 = 800.76 : x
  2. Step 2: Convert to fraction form
    3,265.93/4,898.90 = 800.76/x
  3. Step 3: Cross multiply
    3,265.93x = 4,898.90 × 800.76
  4. Step 4: Simplify right side
    3,265.93x = 3,922,845.17
  5. Step 5: Solve for x
    x = 3,922,845.17/3,265.93
  6. Step 6: Final answer
    x = 1,201.14

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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.