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Finding the Fourth Proportional to 1,271.06, 1,906.29 and 405.20

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Solution

The fourth proportional to 1,271.06, 1,906.29 and 405.20 is: 607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.06 : 1,906.29 = 405.20 : x
  2. Step 2: Convert to fraction form
    1,271.06/1,906.29 = 405.20/x
  3. Step 3: Cross multiply
    1,271.06x = 1,906.29 × 405.20
  4. Step 4: Simplify right side
    1,271.06x = 772,428.71
  5. Step 5: Solve for x
    x = 772,428.71/1,271.06
  6. Step 6: Final answer
    x = 607.70

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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.