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Finding the Fourth Proportional to 859.53, 1,186.16 and 466.59

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Solution

The fourth proportional to 859.53, 1,186.16 and 466.59 is: 643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.53 : 1,186.16 = 466.59 : x
  2. Step 2: Convert to fraction form
    859.53/1,186.16 = 466.59/x
  3. Step 3: Cross multiply
    859.53x = 1,186.16 × 466.59
  4. Step 4: Simplify right side
    859.53x = 553,448.06
  5. Step 5: Solve for x
    x = 553,448.06/859.53
  6. Step 6: Final answer
    x = 643.90

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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.