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Finding the Fourth Proportional to 859.83, 1,289.94 and 312.00

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Solution

The fourth proportional to 859.83, 1,289.94 and 312.00 is: 468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.83 : 1,289.94 = 312.00 : x
  2. Step 2: Convert to fraction form
    859.83/1,289.94 = 312.00/x
  3. Step 3: Cross multiply
    859.83x = 1,289.94 × 312.00
  4. Step 4: Simplify right side
    859.83x = 402,463.41
  5. Step 5: Solve for x
    x = 402,463.41/859.83
  6. Step 6: Final answer
    x = 468.07

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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.