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Finding the Fourth Proportional to 804.48, 1,206.87 and 317.57

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Solution

The fourth proportional to 804.48, 1,206.87 and 317.57 is: 476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.48 : 1,206.87 = 317.57 : x
  2. Step 2: Convert to fraction form
    804.48/1,206.87 = 317.57/x
  3. Step 3: Cross multiply
    804.48x = 1,206.87 × 317.57
  4. Step 4: Simplify right side
    804.48x = 383,265.71
  5. Step 5: Solve for x
    x = 383,265.71/804.48
  6. Step 6: Final answer
    x = 476.41

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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.