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Finding the Fourth Proportional to 805.12, 1,111.02 and 525.42

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Solution

The fourth proportional to 805.12, 1,111.02 and 525.42 is: 725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.12 : 1,111.02 = 525.42 : x
  2. Step 2: Convert to fraction form
    805.12/1,111.02 = 525.42/x
  3. Step 3: Cross multiply
    805.12x = 1,111.02 × 525.42
  4. Step 4: Simplify right side
    805.12x = 583,750.16
  5. Step 5: Solve for x
    x = 583,750.16/805.12
  6. Step 6: Final answer
    x = 725.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.