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Finding the Fourth Proportional to 1,485.71, 2,227.17 and 511.13

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Solution

The fourth proportional to 1,485.71, 2,227.17 and 511.13 is: 766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.71 : 2,227.17 = 511.13 : x
  2. Step 2: Convert to fraction form
    1,485.71/2,227.17 = 511.13/x
  3. Step 3: Cross multiply
    1,485.71x = 2,227.17 × 511.13
  4. Step 4: Simplify right side
    1,485.71x = 1,138,373.40
  5. Step 5: Solve for x
    x = 1,138,373.40/1,485.71
  6. Step 6: Final answer
    x = 766.22

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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.