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Finding the Fourth Proportional to 777.58, 1,166.86 and 315.37

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Solution

The fourth proportional to 777.58, 1,166.86 and 315.37 is: 473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.58 : 1,166.86 = 315.37 : x
  2. Step 2: Convert to fraction form
    777.58/1,166.86 = 315.37/x
  3. Step 3: Cross multiply
    777.58x = 1,166.86 × 315.37
  4. Step 4: Simplify right side
    777.58x = 367,992.64
  5. Step 5: Solve for x
    x = 367,992.64/777.58
  6. Step 6: Final answer
    x = 473.25

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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.