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Finding the Fourth Proportional to 1,216.78, 1,820.40 and 970.78

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Solution

The fourth proportional to 1,216.78, 1,820.40 and 970.78 is: 1,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.78 : 1,820.40 = 970.78 : x
  2. Step 2: Convert to fraction form
    1,216.78/1,820.40 = 970.78/x
  3. Step 3: Cross multiply
    1,216.78x = 1,820.40 × 970.78
  4. Step 4: Simplify right side
    1,216.78x = 1,767,207.91
  5. Step 5: Solve for x
    x = 1,767,207.91/1,216.78
  6. Step 6: Final answer
    x = 1,452.36

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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.