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Finding the Fourth Proportional to 3,034.13, 4,550.99 and 842.87

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Solution

The fourth proportional to 3,034.13, 4,550.99 and 842.87 is: 1,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.13 : 4,550.99 = 842.87 : x
  2. Step 2: Convert to fraction form
    3,034.13/4,550.99 = 842.87/x
  3. Step 3: Cross multiply
    3,034.13x = 4,550.99 × 842.87
  4. Step 4: Simplify right side
    3,034.13x = 3,835,900.10
  5. Step 5: Solve for x
    x = 3,835,900.10/3,034.13
  6. Step 6: Final answer
    x = 1,264.25

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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.