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Finding the Fourth Proportional to 784.10, 1,176.24 and 297.02

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Solution

The fourth proportional to 784.10, 1,176.24 and 297.02 is: 445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.10 : 1,176.24 = 297.02 : x
  2. Step 2: Convert to fraction form
    784.10/1,176.24 = 297.02/x
  3. Step 3: Cross multiply
    784.10x = 1,176.24 × 297.02
  4. Step 4: Simplify right side
    784.10x = 349,366.80
  5. Step 5: Solve for x
    x = 349,366.80/784.10
  6. Step 6: Final answer
    x = 445.56

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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.