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Finding the Fourth Proportional to 879.84, 1,213.08 and 564.55

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Solution

The fourth proportional to 879.84, 1,213.08 and 564.55 is: 778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.84 : 1,213.08 = 564.55 : x
  2. Step 2: Convert to fraction form
    879.84/1,213.08 = 564.55/x
  3. Step 3: Cross multiply
    879.84x = 1,213.08 × 564.55
  4. Step 4: Simplify right side
    879.84x = 684,844.69
  5. Step 5: Solve for x
    x = 684,844.69/879.84
  6. Step 6: Final answer
    x = 778.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.