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Finding the Fourth Proportional to 805.77, 1,207.93 and 319.16

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Solution

The fourth proportional to 805.77, 1,207.93 and 319.16 is: 478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.77 : 1,207.93 = 319.16 : x
  2. Step 2: Convert to fraction form
    805.77/1,207.93 = 319.16/x
  3. Step 3: Cross multiply
    805.77x = 1,207.93 × 319.16
  4. Step 4: Simplify right side
    805.77x = 385,522.94
  5. Step 5: Solve for x
    x = 385,522.94/805.77
  6. Step 6: Final answer
    x = 478.45

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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.