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Finding the Fourth Proportional to 1,449.75, 2,001.53 and 953.25

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Solution

The fourth proportional to 1,449.75, 2,001.53 and 953.25 is: 1,316.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.75 : 2,001.53 = 953.25 : x
  2. Step 2: Convert to fraction form
    1,449.75/2,001.53 = 953.25/x
  3. Step 3: Cross multiply
    1,449.75x = 2,001.53 × 953.25
  4. Step 4: Simplify right side
    1,449.75x = 1,907,953.71
  5. Step 5: Solve for x
    x = 1,907,953.71/1,449.75
  6. Step 6: Final answer
    x = 1,316.06

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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.