Home / 1,507.20-2,259.84-777.60

Finding the Fourth Proportional to 1,507.20, 2,259.84 and 777.60

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Solution

The fourth proportional to 1,507.20, 2,259.84 and 777.60 is: 1,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.20 : 2,259.84 = 777.60 : x
  2. Step 2: Convert to fraction form
    1,507.20/2,259.84 = 777.60/x
  3. Step 3: Cross multiply
    1,507.20x = 2,259.84 × 777.60
  4. Step 4: Simplify right side
    1,507.20x = 1,757,251.58
  5. Step 5: Solve for x
    x = 1,757,251.58/1,507.20
  6. Step 6: Final answer
    x = 1,165.90

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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.