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Finding the Fourth Proportional to 807.59, 1,211.23 and 314.00

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Solution

The fourth proportional to 807.59, 1,211.23 and 314.00 is: 470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.59 : 1,211.23 = 314.00 : x
  2. Step 2: Convert to fraction form
    807.59/1,211.23 = 314.00/x
  3. Step 3: Cross multiply
    807.59x = 1,211.23 × 314.00
  4. Step 4: Simplify right side
    807.59x = 380,320.16
  5. Step 5: Solve for x
    x = 380,320.16/807.59
  6. Step 6: Final answer
    x = 470.93

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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.