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Finding the Fourth Proportional to 859.90, 1,289.86 and 494.46

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Solution

The fourth proportional to 859.90, 1,289.86 and 494.46 is: 741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.90 : 1,289.86 = 494.46 : x
  2. Step 2: Convert to fraction form
    859.90/1,289.86 = 494.46/x
  3. Step 3: Cross multiply
    859.90x = 1,289.86 × 494.46
  4. Step 4: Simplify right side
    859.90x = 637,784.18
  5. Step 5: Solve for x
    x = 637,784.18/859.90
  6. Step 6: Final answer
    x = 741.70

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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.