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Finding the Fourth Proportional to 675.77, 1,012.84 and 310.05

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Solution

The fourth proportional to 675.77, 1,012.84 and 310.05 is: 464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.77 : 1,012.84 = 310.05 : x
  2. Step 2: Convert to fraction form
    675.77/1,012.84 = 310.05/x
  3. Step 3: Cross multiply
    675.77x = 1,012.84 × 310.05
  4. Step 4: Simplify right side
    675.77x = 314,029.49
  5. Step 5: Solve for x
    x = 314,029.49/675.77
  6. Step 6: Final answer
    x = 464.70

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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.