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Finding the Fourth Proportional to 1,405.34, 2,107.19 and 582.63

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Solution

The fourth proportional to 1,405.34, 2,107.19 and 582.63 is: 873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.34 : 2,107.19 = 582.63 : x
  2. Step 2: Convert to fraction form
    1,405.34/2,107.19 = 582.63/x
  3. Step 3: Cross multiply
    1,405.34x = 2,107.19 × 582.63
  4. Step 4: Simplify right side
    1,405.34x = 1,227,713.57
  5. Step 5: Solve for x
    x = 1,227,713.57/1,405.34
  6. Step 6: Final answer
    x = 873.60

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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.