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Finding the Fourth Proportional to 859.42, 1,185.86 and 486.30

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Solution

The fourth proportional to 859.42, 1,185.86 and 486.30 is: 671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.42 : 1,185.86 = 486.30 : x
  2. Step 2: Convert to fraction form
    859.42/1,185.86 = 486.30/x
  3. Step 3: Cross multiply
    859.42x = 1,185.86 × 486.30
  4. Step 4: Simplify right side
    859.42x = 576,683.72
  5. Step 5: Solve for x
    x = 576,683.72/859.42
  6. Step 6: Final answer
    x = 671.02

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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.