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Finding the Fourth Proportional to 1,566.28, 2,348.28 and 744.08

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Solution

The fourth proportional to 1,566.28, 2,348.28 and 744.08 is: 1,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.28 : 2,348.28 = 744.08 : x
  2. Step 2: Convert to fraction form
    1,566.28/2,348.28 = 744.08/x
  3. Step 3: Cross multiply
    1,566.28x = 2,348.28 × 744.08
  4. Step 4: Simplify right side
    1,566.28x = 1,747,308.18
  5. Step 5: Solve for x
    x = 1,747,308.18/1,566.28
  6. Step 6: Final answer
    x = 1,115.58

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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.