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Finding the Fourth Proportional to 1,504.24, 2,260.62 and 888.24

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Solution

The fourth proportional to 1,504.24, 2,260.62 and 888.24 is: 1,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.24 : 2,260.62 = 888.24 : x
  2. Step 2: Convert to fraction form
    1,504.24/2,260.62 = 888.24/x
  3. Step 3: Cross multiply
    1,504.24x = 2,260.62 × 888.24
  4. Step 4: Simplify right side
    1,504.24x = 2,007,973.11
  5. Step 5: Solve for x
    x = 2,007,973.11/1,504.24
  6. Step 6: Final answer
    x = 1,334.88

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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.