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Finding the Fourth Proportional to 1,405.74, 2,109.55 and 584.01

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Solution

The fourth proportional to 1,405.74, 2,109.55 and 584.01 is: 876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.74 : 2,109.55 = 584.01 : x
  2. Step 2: Convert to fraction form
    1,405.74/2,109.55 = 584.01/x
  3. Step 3: Cross multiply
    1,405.74x = 2,109.55 × 584.01
  4. Step 4: Simplify right side
    1,405.74x = 1,231,997.93
  5. Step 5: Solve for x
    x = 1,231,997.93/1,405.74
  6. Step 6: Final answer
    x = 876.41

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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.