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Finding the Fourth Proportional to 1,188.42, 1,781.63 and 538.98

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Solution

The fourth proportional to 1,188.42, 1,781.63 and 538.98 is: 808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.42 : 1,781.63 = 538.98 : x
  2. Step 2: Convert to fraction form
    1,188.42/1,781.63 = 538.98/x
  3. Step 3: Cross multiply
    1,188.42x = 1,781.63 × 538.98
  4. Step 4: Simplify right side
    1,188.42x = 960,262.94
  5. Step 5: Solve for x
    x = 960,262.94/1,188.42
  6. Step 6: Final answer
    x = 808.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.