Home / 1,514.68-2,272.64-784.76

Finding the Fourth Proportional to 1,514.68, 2,272.64 and 784.76

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Solution

The fourth proportional to 1,514.68, 2,272.64 and 784.76 is: 1,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.68 : 2,272.64 = 784.76 : x
  2. Step 2: Convert to fraction form
    1,514.68/2,272.64 = 784.76/x
  3. Step 3: Cross multiply
    1,514.68x = 2,272.64 × 784.76
  4. Step 4: Simplify right side
    1,514.68x = 1,783,476.97
  5. Step 5: Solve for x
    x = 1,783,476.97/1,514.68
  6. Step 6: Final answer
    x = 1,177.46

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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.