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Finding the Fourth Proportional to 917.78, 1,376.67 and 589.73

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Solution

The fourth proportional to 917.78, 1,376.67 and 589.73 is: 884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.78 : 1,376.67 = 589.73 : x
  2. Step 2: Convert to fraction form
    917.78/1,376.67 = 589.73/x
  3. Step 3: Cross multiply
    917.78x = 1,376.67 × 589.73
  4. Step 4: Simplify right side
    917.78x = 811,863.60
  5. Step 5: Solve for x
    x = 811,863.60/917.78
  6. Step 6: Final answer
    x = 884.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.