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Finding the Fourth Proportional to 859.74, 1,289.61 and 210.47

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Solution

The fourth proportional to 859.74, 1,289.61 and 210.47 is: 315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.74 : 1,289.61 = 210.47 : x
  2. Step 2: Convert to fraction form
    859.74/1,289.61 = 210.47/x
  3. Step 3: Cross multiply
    859.74x = 1,289.61 × 210.47
  4. Step 4: Simplify right side
    859.74x = 271,417.77
  5. Step 5: Solve for x
    x = 271,417.77/859.74
  6. Step 6: Final answer
    x = 315.70

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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.