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Finding the Fourth Proportional to 1,405.70, 2,107.78 and 583.46

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Solution

The fourth proportional to 1,405.70, 2,107.78 and 583.46 is: 874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.70 : 2,107.78 = 583.46 : x
  2. Step 2: Convert to fraction form
    1,405.70/2,107.78 = 583.46/x
  3. Step 3: Cross multiply
    1,405.70x = 2,107.78 × 583.46
  4. Step 4: Simplify right side
    1,405.70x = 1,229,805.32
  5. Step 5: Solve for x
    x = 1,229,805.32/1,405.70
  6. Step 6: Final answer
    x = 874.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.