Home / 1,177.02-1,625.13-784.98

Finding the Fourth Proportional to 1,177.02, 1,625.13 and 784.98

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Solution

The fourth proportional to 1,177.02, 1,625.13 and 784.98 is: 1,083.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.02 : 1,625.13 = 784.98 : x
  2. Step 2: Convert to fraction form
    1,177.02/1,625.13 = 784.98/x
  3. Step 3: Cross multiply
    1,177.02x = 1,625.13 × 784.98
  4. Step 4: Simplify right side
    1,177.02x = 1,275,694.55
  5. Step 5: Solve for x
    x = 1,275,694.55/1,177.02
  6. Step 6: Final answer
    x = 1,083.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.