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Finding the Fourth Proportional to 758.56, 1,137.86 and 313.76

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Solution

The fourth proportional to 758.56, 1,137.86 and 313.76 is: 470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.56 : 1,137.86 = 313.76 : x
  2. Step 2: Convert to fraction form
    758.56/1,137.86 = 313.76/x
  3. Step 3: Cross multiply
    758.56x = 1,137.86 × 313.76
  4. Step 4: Simplify right side
    758.56x = 357,014.95
  5. Step 5: Solve for x
    x = 357,014.95/758.56
  6. Step 6: Final answer
    x = 470.65

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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.