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Finding the Fourth Proportional to 1,188.34, 1,782.51 and 539.02

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Solution

The fourth proportional to 1,188.34, 1,782.51 and 539.02 is: 808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.34 : 1,782.51 = 539.02 : x
  2. Step 2: Convert to fraction form
    1,188.34/1,782.51 = 539.02/x
  3. Step 3: Cross multiply
    1,188.34x = 1,782.51 × 539.02
  4. Step 4: Simplify right side
    1,188.34x = 960,808.54
  5. Step 5: Solve for x
    x = 960,808.54/1,188.34
  6. Step 6: Final answer
    x = 808.53

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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.