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Finding the Fourth Proportional to 885.99, 1,221.57 and 570.75

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Solution

The fourth proportional to 885.99, 1,221.57 and 570.75 is: 786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.99 : 1,221.57 = 570.75 : x
  2. Step 2: Convert to fraction form
    885.99/1,221.57 = 570.75/x
  3. Step 3: Cross multiply
    885.99x = 1,221.57 × 570.75
  4. Step 4: Simplify right side
    885.99x = 697,211.08
  5. Step 5: Solve for x
    x = 697,211.08/885.99
  6. Step 6: Final answer
    x = 786.93

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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.