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Finding the Fourth Proportional to 1,449.23, 2,174.07 and 718.85

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Solution

The fourth proportional to 1,449.23, 2,174.07 and 718.85 is: 1,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.23 : 2,174.07 = 718.85 : x
  2. Step 2: Convert to fraction form
    1,449.23/2,174.07 = 718.85/x
  3. Step 3: Cross multiply
    1,449.23x = 2,174.07 × 718.85
  4. Step 4: Simplify right side
    1,449.23x = 1,562,830.22
  5. Step 5: Solve for x
    x = 1,562,830.22/1,449.23
  6. Step 6: Final answer
    x = 1,078.39

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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.