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Finding the Fourth Proportional to 855.90, 1,283.85 and 564.30

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Solution

The fourth proportional to 855.90, 1,283.85 and 564.30 is: 846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.90 : 1,283.85 = 564.30 : x
  2. Step 2: Convert to fraction form
    855.90/1,283.85 = 564.30/x
  3. Step 3: Cross multiply
    855.90x = 1,283.85 × 564.30
  4. Step 4: Simplify right side
    855.90x = 724,476.56
  5. Step 5: Solve for x
    x = 724,476.56/855.90
  6. Step 6: Final answer
    x = 846.45

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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.