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Finding the Fourth Proportional to 883.98, 1,220.40 and 687.06

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Solution

The fourth proportional to 883.98, 1,220.40 and 687.06 is: 948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.98 : 1,220.40 = 687.06 : x
  2. Step 2: Convert to fraction form
    883.98/1,220.40 = 687.06/x
  3. Step 3: Cross multiply
    883.98x = 1,220.40 × 687.06
  4. Step 4: Simplify right side
    883.98x = 838,488.02
  5. Step 5: Solve for x
    x = 838,488.02/883.98
  6. Step 6: Final answer
    x = 948.54

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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.