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Finding the Fourth Proportional to 1,189.02, 1,779.21 and 981.66

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Solution

The fourth proportional to 1,189.02, 1,779.21 and 981.66 is: 1,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.02 : 1,779.21 = 981.66 : x
  2. Step 2: Convert to fraction form
    1,189.02/1,779.21 = 981.66/x
  3. Step 3: Cross multiply
    1,189.02x = 1,779.21 × 981.66
  4. Step 4: Simplify right side
    1,189.02x = 1,746,579.29
  5. Step 5: Solve for x
    x = 1,746,579.29/1,189.02
  6. Step 6: Final answer
    x = 1,468.92

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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.