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Finding the Fourth Proportional to 779.24, 1,165.92 and 562.34

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Solution

The fourth proportional to 779.24, 1,165.92 and 562.34 is: 841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.24 : 1,165.92 = 562.34 : x
  2. Step 2: Convert to fraction form
    779.24/1,165.92 = 562.34/x
  3. Step 3: Cross multiply
    779.24x = 1,165.92 × 562.34
  4. Step 4: Simplify right side
    779.24x = 655,643.45
  5. Step 5: Solve for x
    x = 655,643.45/779.24
  6. Step 6: Final answer
    x = 841.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.