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Finding the Fourth Proportional to 789.82, 1,088.70 and 623.76

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Solution

The fourth proportional to 789.82, 1,088.70 and 623.76 is: 859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.82 : 1,088.70 = 623.76 : x
  2. Step 2: Convert to fraction form
    789.82/1,088.70 = 623.76/x
  3. Step 3: Cross multiply
    789.82x = 1,088.70 × 623.76
  4. Step 4: Simplify right side
    789.82x = 679,087.51
  5. Step 5: Solve for x
    x = 679,087.51/789.82
  6. Step 6: Final answer
    x = 859.80

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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.