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Finding the Fourth Proportional to 859.17, 1,185.67 and 466.21

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Solution

The fourth proportional to 859.17, 1,185.67 and 466.21 is: 643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.17 : 1,185.67 = 466.21 : x
  2. Step 2: Convert to fraction form
    859.17/1,185.67 = 466.21/x
  3. Step 3: Cross multiply
    859.17x = 1,185.67 × 466.21
  4. Step 4: Simplify right side
    859.17x = 552,767.08
  5. Step 5: Solve for x
    x = 552,767.08/859.17
  6. Step 6: Final answer
    x = 643.37

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Double scale
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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.