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Finding the Fourth Proportional to 1,632.01, 2,448.09 and 477.76

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Solution

The fourth proportional to 1,632.01, 2,448.09 and 477.76 is: 716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.01 : 2,448.09 = 477.76 : x
  2. Step 2: Convert to fraction form
    1,632.01/2,448.09 = 477.76/x
  3. Step 3: Cross multiply
    1,632.01x = 2,448.09 × 477.76
  4. Step 4: Simplify right side
    1,632.01x = 1,169,599.48
  5. Step 5: Solve for x
    x = 1,169,599.48/1,632.01
  6. Step 6: Final answer
    x = 716.66

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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.