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Finding the Fourth Proportional to 859.44, 1,184.88 and 564.48

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Solution

The fourth proportional to 859.44, 1,184.88 and 564.48 is: 778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.44 : 1,184.88 = 564.48 : x
  2. Step 2: Convert to fraction form
    859.44/1,184.88 = 564.48/x
  3. Step 3: Cross multiply
    859.44x = 1,184.88 × 564.48
  4. Step 4: Simplify right side
    859.44x = 668,841.06
  5. Step 5: Solve for x
    x = 668,841.06/859.44
  6. Step 6: Final answer
    x = 778.23

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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.