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Finding the Fourth Proportional to 1,188.95, 1,780.05 and 1,124.30

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Solution

The fourth proportional to 1,188.95, 1,780.05 and 1,124.30 is: 1,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.95 : 1,780.05 = 1,124.30 : x
  2. Step 2: Convert to fraction form
    1,188.95/1,780.05 = 1,124.30/x
  3. Step 3: Cross multiply
    1,188.95x = 1,780.05 × 1,124.30
  4. Step 4: Simplify right side
    1,188.95x = 2,001,310.22
  5. Step 5: Solve for x
    x = 2,001,310.22/1,188.95
  6. Step 6: Final answer
    x = 1,683.26

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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.