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Finding the Fourth Proportional to 784.74, 1,176.12 and 687

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Solution

The fourth proportional to 784.74, 1,176.12 and 687 is: 1,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.74 : 1,176.12 = 687 : x
  2. Step 2: Convert to fraction form
    784.74/1,176.12 = 687/x
  3. Step 3: Cross multiply
    784.74x = 1,176.12 × 687
  4. Step 4: Simplify right side
    784.74x = 807,994.44
  5. Step 5: Solve for x
    x = 807,994.44/784.74
  6. Step 6: Final answer
    x = 1,029.63

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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.