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Finding the Fourth Proportional to 728.53, 1,005.26 and 448.76

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Solution

The fourth proportional to 728.53, 1,005.26 and 448.76 is: 619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.53 : 1,005.26 = 448.76 : x
  2. Step 2: Convert to fraction form
    728.53/1,005.26 = 448.76/x
  3. Step 3: Cross multiply
    728.53x = 1,005.26 × 448.76
  4. Step 4: Simplify right side
    728.53x = 451,120.75
  5. Step 5: Solve for x
    x = 451,120.75/728.53
  6. Step 6: Final answer
    x = 619.22

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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.