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Finding the Fourth Proportional to 1,171.00, 1,756.02 and 585.79

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Solution

The fourth proportional to 1,171.00, 1,756.02 and 585.79 is: 878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.00 : 1,756.02 = 585.79 : x
  2. Step 2: Convert to fraction form
    1,171.00/1,756.02 = 585.79/x
  3. Step 3: Cross multiply
    1,171.00x = 1,756.02 × 585.79
  4. Step 4: Simplify right side
    1,171.00x = 1,028,656.76
  5. Step 5: Solve for x
    x = 1,028,656.76/1,171.00
  6. Step 6: Final answer
    x = 878.44

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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.