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Finding the Fourth Proportional to 859.42, 1,289.13 and 346.78

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Solution

The fourth proportional to 859.42, 1,289.13 and 346.78 is: 520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.42 : 1,289.13 = 346.78 : x
  2. Step 2: Convert to fraction form
    859.42/1,289.13 = 346.78/x
  3. Step 3: Cross multiply
    859.42x = 1,289.13 × 346.78
  4. Step 4: Simplify right side
    859.42x = 447,044.50
  5. Step 5: Solve for x
    x = 447,044.50/859.42
  6. Step 6: Final answer
    x = 520.17

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.