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Finding the Fourth Proportional to 1,240.28, 1,860.24 and 418.28

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Solution

The fourth proportional to 1,240.28, 1,860.24 and 418.28 is: 627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.28 : 1,860.24 = 418.28 : x
  2. Step 2: Convert to fraction form
    1,240.28/1,860.24 = 418.28/x
  3. Step 3: Cross multiply
    1,240.28x = 1,860.24 × 418.28
  4. Step 4: Simplify right side
    1,240.28x = 778,101.19
  5. Step 5: Solve for x
    x = 778,101.19/1,240.28
  6. Step 6: Final answer
    x = 627.36

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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.