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Finding the Fourth Proportional to 1,057.91, 1,460.12 and 615.80

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Solution

The fourth proportional to 1,057.91, 1,460.12 and 615.80 is: 849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.91 : 1,460.12 = 615.80 : x
  2. Step 2: Convert to fraction form
    1,057.91/1,460.12 = 615.80/x
  3. Step 3: Cross multiply
    1,057.91x = 1,460.12 × 615.80
  4. Step 4: Simplify right side
    1,057.91x = 899,131.52
  5. Step 5: Solve for x
    x = 899,131.52/1,057.91
  6. Step 6: Final answer
    x = 849.92

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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.