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Finding the Fourth Proportional to 1,406.40, 2,109.23 and 528.86

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Solution

The fourth proportional to 1,406.40, 2,109.23 and 528.86 is: 793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.40 : 2,109.23 = 528.86 : x
  2. Step 2: Convert to fraction form
    1,406.40/2,109.23 = 528.86/x
  3. Step 3: Cross multiply
    1,406.40x = 2,109.23 × 528.86
  4. Step 4: Simplify right side
    1,406.40x = 1,115,474.19
  5. Step 5: Solve for x
    x = 1,115,474.19/1,406.40
  6. Step 6: Final answer
    x = 793.14

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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.