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Finding the Fourth Proportional to 1,220.24, 1,682.76 and 925.52

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Solution

The fourth proportional to 1,220.24, 1,682.76 and 925.52 is: 1,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.24 : 1,682.76 = 925.52 : x
  2. Step 2: Convert to fraction form
    1,220.24/1,682.76 = 925.52/x
  3. Step 3: Cross multiply
    1,220.24x = 1,682.76 × 925.52
  4. Step 4: Simplify right side
    1,220.24x = 1,557,428.04
  5. Step 5: Solve for x
    x = 1,557,428.04/1,220.24
  6. Step 6: Final answer
    x = 1,276.33

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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.