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Finding the Fourth Proportional to 1,050.39, 1,449.50 and 578.26

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Solution

The fourth proportional to 1,050.39, 1,449.50 and 578.26 is: 797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.39 : 1,449.50 = 578.26 : x
  2. Step 2: Convert to fraction form
    1,050.39/1,449.50 = 578.26/x
  3. Step 3: Cross multiply
    1,050.39x = 1,449.50 × 578.26
  4. Step 4: Simplify right side
    1,050.39x = 838,177.73
  5. Step 5: Solve for x
    x = 838,177.73/1,050.39
  6. Step 6: Final answer
    x = 797.97

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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.