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Finding the Fourth Proportional to 1,405, 2,106.08 and 583.73

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Solution

The fourth proportional to 1,405, 2,106.08 and 583.73 is: 875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405 : 2,106.08 = 583.73 : x
  2. Step 2: Convert to fraction form
    1,405/2,106.08 = 583.73/x
  3. Step 3: Cross multiply
    1,405x = 2,106.08 × 583.73
  4. Step 4: Simplify right side
    1,405x = 1,229,382.08
  5. Step 5: Solve for x
    x = 1,229,382.08/1,405
  6. Step 6: Final answer
    x = 875.01

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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.