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Finding the Fourth Proportional to 1,324.28, 1,825.30 and 930.62

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Solution

The fourth proportional to 1,324.28, 1,825.30 and 930.62 is: 1,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.28 : 1,825.30 = 930.62 : x
  2. Step 2: Convert to fraction form
    1,324.28/1,825.30 = 930.62/x
  3. Step 3: Cross multiply
    1,324.28x = 1,825.30 × 930.62
  4. Step 4: Simplify right side
    1,324.28x = 1,698,649.23
  5. Step 5: Solve for x
    x = 1,698,649.23/1,324.28
  6. Step 6: Final answer
    x = 1,282.70

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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.