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Finding the Fourth Proportional to 784.12, 1,176.38 and 297.18

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Solution

The fourth proportional to 784.12, 1,176.38 and 297.18 is: 445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.12 : 1,176.38 = 297.18 : x
  2. Step 2: Convert to fraction form
    784.12/1,176.38 = 297.18/x
  3. Step 3: Cross multiply
    784.12x = 1,176.38 × 297.18
  4. Step 4: Simplify right side
    784.12x = 349,596.61
  5. Step 5: Solve for x
    x = 349,596.61/784.12
  6. Step 6: Final answer
    x = 445.85

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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.