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Finding the Fourth Proportional to 1,186.11, 1,777.95 and 569.93

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Solution

The fourth proportional to 1,186.11, 1,777.95 and 569.93 is: 854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.11 : 1,777.95 = 569.93 : x
  2. Step 2: Convert to fraction form
    1,186.11/1,777.95 = 569.93/x
  3. Step 3: Cross multiply
    1,186.11x = 1,777.95 × 569.93
  4. Step 4: Simplify right side
    1,186.11x = 1,013,298.15
  5. Step 5: Solve for x
    x = 1,013,298.15/1,186.11
  6. Step 6: Final answer
    x = 854.30

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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.