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Finding the Fourth Proportional to 807.59, 1,210.78 and 259.46

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Solution

The fourth proportional to 807.59, 1,210.78 and 259.46 is: 388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.59 : 1,210.78 = 259.46 : x
  2. Step 2: Convert to fraction form
    807.59/1,210.78 = 259.46/x
  3. Step 3: Cross multiply
    807.59x = 1,210.78 × 259.46
  4. Step 4: Simplify right side
    807.59x = 314,141.63
  5. Step 5: Solve for x
    x = 314,141.63/807.59
  6. Step 6: Final answer
    x = 388.99

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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.