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Finding the Fourth Proportional to 784.68, 1,175.77 and 414.47

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Solution

The fourth proportional to 784.68, 1,175.77 and 414.47 is: 621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.68 : 1,175.77 = 414.47 : x
  2. Step 2: Convert to fraction form
    784.68/1,175.77 = 414.47/x
  3. Step 3: Cross multiply
    784.68x = 1,175.77 × 414.47
  4. Step 4: Simplify right side
    784.68x = 487,319.62
  5. Step 5: Solve for x
    x = 487,319.62/784.68
  6. Step 6: Final answer
    x = 621.04

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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.