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Finding the Fourth Proportional to 851.07, 1,174.34 and 571.77

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Solution

The fourth proportional to 851.07, 1,174.34 and 571.77 is: 788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.07 : 1,174.34 = 571.77 : x
  2. Step 2: Convert to fraction form
    851.07/1,174.34 = 571.77/x
  3. Step 3: Cross multiply
    851.07x = 1,174.34 × 571.77
  4. Step 4: Simplify right side
    851.07x = 671,449.52
  5. Step 5: Solve for x
    x = 671,449.52/851.07
  6. Step 6: Final answer
    x = 788.95

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