Home / 1,264.07-1,895.55-523.16

Finding the Fourth Proportional to 1,264.07, 1,895.55 and 523.16

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Solution

The fourth proportional to 1,264.07, 1,895.55 and 523.16 is: 784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.07 : 1,895.55 = 523.16 : x
  2. Step 2: Convert to fraction form
    1,264.07/1,895.55 = 523.16/x
  3. Step 3: Cross multiply
    1,264.07x = 1,895.55 × 523.16
  4. Step 4: Simplify right side
    1,264.07x = 991,675.94
  5. Step 5: Solve for x
    x = 991,675.94/1,264.07
  6. Step 6: Final answer
    x = 784.51

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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.