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Finding the Fourth Proportional to 834.35, 1,252.62 and 525.24

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Solution

The fourth proportional to 834.35, 1,252.62 and 525.24 is: 788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.35 : 1,252.62 = 525.24 : x
  2. Step 2: Convert to fraction form
    834.35/1,252.62 = 525.24/x
  3. Step 3: Cross multiply
    834.35x = 1,252.62 × 525.24
  4. Step 4: Simplify right side
    834.35x = 657,926.13
  5. Step 5: Solve for x
    x = 657,926.13/834.35
  6. Step 6: Final answer
    x = 788.55

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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.