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Finding the Fourth Proportional to 571.94, 861.14 and 503.90

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Solution

The fourth proportional to 571.94, 861.14 and 503.90 is: 758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.94 : 861.14 = 503.90 : x
  2. Step 2: Convert to fraction form
    571.94/861.14 = 503.90/x
  3. Step 3: Cross multiply
    571.94x = 861.14 × 503.90
  4. Step 4: Simplify right side
    571.94x = 433,928.45
  5. Step 5: Solve for x
    x = 433,928.45/571.94
  6. Step 6: Final answer
    x = 758.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.