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Finding the Fourth Proportional to 1,271.04, 1,906.42 and 405.24

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Solution

The fourth proportional to 1,271.04, 1,906.42 and 405.24 is: 607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.04 : 1,906.42 = 405.24 : x
  2. Step 2: Convert to fraction form
    1,271.04/1,906.42 = 405.24/x
  3. Step 3: Cross multiply
    1,271.04x = 1,906.42 × 405.24
  4. Step 4: Simplify right side
    1,271.04x = 772,557.64
  5. Step 5: Solve for x
    x = 772,557.64/1,271.04
  6. Step 6: Final answer
    x = 607.82

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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.