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Finding the Fourth Proportional to 1,187.59, 1,781.77 and 571.22

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Solution

The fourth proportional to 1,187.59, 1,781.77 and 571.22 is: 857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.59 : 1,781.77 = 571.22 : x
  2. Step 2: Convert to fraction form
    1,187.59/1,781.77 = 571.22/x
  3. Step 3: Cross multiply
    1,187.59x = 1,781.77 × 571.22
  4. Step 4: Simplify right side
    1,187.59x = 1,017,776.27
  5. Step 5: Solve for x
    x = 1,017,776.27/1,187.59
  6. Step 6: Final answer
    x = 857.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.