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Finding the Fourth Proportional to 1,450.24, 2,000.52 and 925.36

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Solution

The fourth proportional to 1,450.24, 2,000.52 and 925.36 is: 1,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.24 : 2,000.52 = 925.36 : x
  2. Step 2: Convert to fraction form
    1,450.24/2,000.52 = 925.36/x
  3. Step 3: Cross multiply
    1,450.24x = 2,000.52 × 925.36
  4. Step 4: Simplify right side
    1,450.24x = 1,851,201.19
  5. Step 5: Solve for x
    x = 1,851,201.19/1,450.24
  6. Step 6: Final answer
    x = 1,276.48

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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.