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Finding the Fourth Proportional to 1,650.71, 2,476.76 and 555.17

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Solution

The fourth proportional to 1,650.71, 2,476.76 and 555.17 is: 832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.71 : 2,476.76 = 555.17 : x
  2. Step 2: Convert to fraction form
    1,650.71/2,476.76 = 555.17/x
  3. Step 3: Cross multiply
    1,650.71x = 2,476.76 × 555.17
  4. Step 4: Simplify right side
    1,650.71x = 1,375,007.69
  5. Step 5: Solve for x
    x = 1,375,007.69/1,650.71
  6. Step 6: Final answer
    x = 832.98

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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.