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Finding the Fourth Proportional to 1,015.75, 1,523.85 and 312.91

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Solution

The fourth proportional to 1,015.75, 1,523.85 and 312.91 is: 469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.75 : 1,523.85 = 312.91 : x
  2. Step 2: Convert to fraction form
    1,015.75/1,523.85 = 312.91/x
  3. Step 3: Cross multiply
    1,015.75x = 1,523.85 × 312.91
  4. Step 4: Simplify right side
    1,015.75x = 476,827.90
  5. Step 5: Solve for x
    x = 476,827.90/1,015.75
  6. Step 6: Final answer
    x = 469.43

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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.