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Finding the Fourth Proportional to 780.24, 1,165.22 and 694.13

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Solution

The fourth proportional to 780.24, 1,165.22 and 694.13 is: 1,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.24 : 1,165.22 = 694.13 : x
  2. Step 2: Convert to fraction form
    780.24/1,165.22 = 694.13/x
  3. Step 3: Cross multiply
    780.24x = 1,165.22 × 694.13
  4. Step 4: Simplify right side
    780.24x = 808,815.89
  5. Step 5: Solve for x
    x = 808,815.89/780.24
  6. Step 6: Final answer
    x = 1,036.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.