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Finding the Fourth Proportional to 782.69, 1,175.19 and 436.70

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Solution

The fourth proportional to 782.69, 1,175.19 and 436.70 is: 655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.69 : 1,175.19 = 436.70 : x
  2. Step 2: Convert to fraction form
    782.69/1,175.19 = 436.70/x
  3. Step 3: Cross multiply
    782.69x = 1,175.19 × 436.70
  4. Step 4: Simplify right side
    782.69x = 513,199.60
  5. Step 5: Solve for x
    x = 513,199.60/782.69
  6. Step 6: Final answer
    x = 655.69

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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.