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Finding the Fourth Proportional to 1,420.40, 2,132.80 and 772.40

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Solution

The fourth proportional to 1,420.40, 2,132.80 and 772.40 is: 1,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.40 : 2,132.80 = 772.40 : x
  2. Step 2: Convert to fraction form
    1,420.40/2,132.80 = 772.40/x
  3. Step 3: Cross multiply
    1,420.40x = 2,132.80 × 772.40
  4. Step 4: Simplify right side
    1,420.40x = 1,647,374.72
  5. Step 5: Solve for x
    x = 1,647,374.72/1,420.40
  6. Step 6: Final answer
    x = 1,159.80

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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.