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Finding the Fourth Proportional to 1,405.23, 2,109.15 and 712.39

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Solution

The fourth proportional to 1,405.23, 2,109.15 and 712.39 is: 1,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.23 : 2,109.15 = 712.39 : x
  2. Step 2: Convert to fraction form
    1,405.23/2,109.15 = 712.39/x
  3. Step 3: Cross multiply
    1,405.23x = 2,109.15 × 712.39
  4. Step 4: Simplify right side
    1,405.23x = 1,502,529.42
  5. Step 5: Solve for x
    x = 1,502,529.42/1,405.23
  6. Step 6: Final answer
    x = 1,069.24

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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.