Home / 1,256.24-1,886.18-767.80

Finding the Fourth Proportional to 1,256.24, 1,886.18 and 767.80

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Solution

The fourth proportional to 1,256.24, 1,886.18 and 767.80 is: 1,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.24 : 1,886.18 = 767.80 : x
  2. Step 2: Convert to fraction form
    1,256.24/1,886.18 = 767.80/x
  3. Step 3: Cross multiply
    1,256.24x = 1,886.18 × 767.80
  4. Step 4: Simplify right side
    1,256.24x = 1,448,209.00
  5. Step 5: Solve for x
    x = 1,448,209.00/1,256.24
  6. Step 6: Final answer
    x = 1,152.81

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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.