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Finding the Fourth Proportional to 1,405.64, 2,107.23 and 583.40

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Solution

The fourth proportional to 1,405.64, 2,107.23 and 583.40 is: 874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.64 : 2,107.23 = 583.40 : x
  2. Step 2: Convert to fraction form
    1,405.64/2,107.23 = 583.40/x
  3. Step 3: Cross multiply
    1,405.64x = 2,107.23 × 583.40
  4. Step 4: Simplify right side
    1,405.64x = 1,229,357.98
  5. Step 5: Solve for x
    x = 1,229,357.98/1,405.64
  6. Step 6: Final answer
    x = 874.59

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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.