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Finding the Fourth Proportional to 782.61, 1,173.57 and 313.92

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Solution

The fourth proportional to 782.61, 1,173.57 and 313.92 is: 470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.61 : 1,173.57 = 313.92 : x
  2. Step 2: Convert to fraction form
    782.61/1,173.57 = 313.92/x
  3. Step 3: Cross multiply
    782.61x = 1,173.57 × 313.92
  4. Step 4: Simplify right side
    782.61x = 368,407.09
  5. Step 5: Solve for x
    x = 368,407.09/782.61
  6. Step 6: Final answer
    x = 470.74

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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.