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Finding the Fourth Proportional to 675.77, 1,013.72 and 310.59

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Solution

The fourth proportional to 675.77, 1,013.72 and 310.59 is: 465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.77 : 1,013.72 = 310.59 : x
  2. Step 2: Convert to fraction form
    675.77/1,013.72 = 310.59/x
  3. Step 3: Cross multiply
    675.77x = 1,013.72 × 310.59
  4. Step 4: Simplify right side
    675.77x = 314,849.74
  5. Step 5: Solve for x
    x = 314,849.74/675.77
  6. Step 6: Final answer
    x = 465.92

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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.