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Finding the Fourth Proportional to 786.23, 1,084.50 and 505.99

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Solution

The fourth proportional to 786.23, 1,084.50 and 505.99 is: 697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.23 : 1,084.50 = 505.99 : x
  2. Step 2: Convert to fraction form
    786.23/1,084.50 = 505.99/x
  3. Step 3: Cross multiply
    786.23x = 1,084.50 × 505.99
  4. Step 4: Simplify right side
    786.23x = 548,747.51
  5. Step 5: Solve for x
    x = 548,747.51/786.23
  6. Step 6: Final answer
    x = 697.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.