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Finding the Fourth Proportional to 1,344.24, 2,014.88 and 765.84

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Solution

The fourth proportional to 1,344.24, 2,014.88 and 765.84 is: 1,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.24 : 2,014.88 = 765.84 : x
  2. Step 2: Convert to fraction form
    1,344.24/2,014.88 = 765.84/x
  3. Step 3: Cross multiply
    1,344.24x = 2,014.88 × 765.84
  4. Step 4: Simplify right side
    1,344.24x = 1,543,075.70
  5. Step 5: Solve for x
    x = 1,543,075.70/1,344.24
  6. Step 6: Final answer
    x = 1,147.92

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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.