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Finding the Fourth Proportional to 1,272.97, 1,908.24 and 624.16

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Solution

The fourth proportional to 1,272.97, 1,908.24 and 624.16 is: 935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.97 : 1,908.24 = 624.16 : x
  2. Step 2: Convert to fraction form
    1,272.97/1,908.24 = 624.16/x
  3. Step 3: Cross multiply
    1,272.97x = 1,908.24 × 624.16
  4. Step 4: Simplify right side
    1,272.97x = 1,191,047.08
  5. Step 5: Solve for x
    x = 1,191,047.08/1,272.97
  6. Step 6: Final answer
    x = 935.64

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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.