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Finding the Fourth Proportional to 885.90, 1,221.87 and 570.94

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Solution

The fourth proportional to 885.90, 1,221.87 and 570.94 is: 787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.90 : 1,221.87 = 570.94 : x
  2. Step 2: Convert to fraction form
    885.90/1,221.87 = 570.94/x
  3. Step 3: Cross multiply
    885.90x = 1,221.87 × 570.94
  4. Step 4: Simplify right side
    885.90x = 697,614.46
  5. Step 5: Solve for x
    x = 697,614.46/885.90
  6. Step 6: Final answer
    x = 787.46

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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.