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Finding the Fourth Proportional to 1,141.85, 1,712.79 and 525.39

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Solution

The fourth proportional to 1,141.85, 1,712.79 and 525.39 is: 788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.85 : 1,712.79 = 525.39 : x
  2. Step 2: Convert to fraction form
    1,141.85/1,712.79 = 525.39/x
  3. Step 3: Cross multiply
    1,141.85x = 1,712.79 × 525.39
  4. Step 4: Simplify right side
    1,141.85x = 899,882.74
  5. Step 5: Solve for x
    x = 899,882.74/1,141.85
  6. Step 6: Final answer
    x = 788.09

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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.