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Finding the Fourth Proportional to 689.16, 1,033.26 and 524.48

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Solution

The fourth proportional to 689.16, 1,033.26 and 524.48 is: 786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.16 : 1,033.26 = 524.48 : x
  2. Step 2: Convert to fraction form
    689.16/1,033.26 = 524.48/x
  3. Step 3: Cross multiply
    689.16x = 1,033.26 × 524.48
  4. Step 4: Simplify right side
    689.16x = 541,924.20
  5. Step 5: Solve for x
    x = 541,924.20/689.16
  6. Step 6: Final answer
    x = 786.35

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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.