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Finding the Fourth Proportional to 801.40, 1,200.64 and 314.16

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Solution

The fourth proportional to 801.40, 1,200.64 and 314.16 is: 470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.40 : 1,200.64 = 314.16 : x
  2. Step 2: Convert to fraction form
    801.40/1,200.64 = 314.16/x
  3. Step 3: Cross multiply
    801.40x = 1,200.64 × 314.16
  4. Step 4: Simplify right side
    801.40x = 377,193.06
  5. Step 5: Solve for x
    x = 377,193.06/801.40
  6. Step 6: Final answer
    x = 470.67

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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.