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Finding the Fourth Proportional to 1,188.89, 1,781.88 and 564.53

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Solution

The fourth proportional to 1,188.89, 1,781.88 and 564.53 is: 846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.89 : 1,781.88 = 564.53 : x
  2. Step 2: Convert to fraction form
    1,188.89/1,781.88 = 564.53/x
  3. Step 3: Cross multiply
    1,188.89x = 1,781.88 × 564.53
  4. Step 4: Simplify right side
    1,188.89x = 1,005,924.72
  5. Step 5: Solve for x
    x = 1,005,924.72/1,188.89
  6. Step 6: Final answer
    x = 846.10

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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.