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Finding the Fourth Proportional to 707.44, 1,061.52 and 365.44

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Solution

The fourth proportional to 707.44, 1,061.52 and 365.44 is: 548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.44 : 1,061.52 = 365.44 : x
  2. Step 2: Convert to fraction form
    707.44/1,061.52 = 365.44/x
  3. Step 3: Cross multiply
    707.44x = 1,061.52 × 365.44
  4. Step 4: Simplify right side
    707.44x = 387,921.87
  5. Step 5: Solve for x
    x = 387,921.87/707.44
  6. Step 6: Final answer
    x = 548.35

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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.