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Finding the Fourth Proportional to 1,145.81, 1,719.72 and 590.90

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Solution

The fourth proportional to 1,145.81, 1,719.72 and 590.90 is: 886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.81 : 1,719.72 = 590.90 : x
  2. Step 2: Convert to fraction form
    1,145.81/1,719.72 = 590.90/x
  3. Step 3: Cross multiply
    1,145.81x = 1,719.72 × 590.90
  4. Step 4: Simplify right side
    1,145.81x = 1,016,173.95
  5. Step 5: Solve for x
    x = 1,016,173.95/1,145.81
  6. Step 6: Final answer
    x = 886.86

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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.