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Finding the Fourth Proportional to 1,472.46, 2,208.48 and 547.77

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Solution

The fourth proportional to 1,472.46, 2,208.48 and 547.77 is: 821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.46 : 2,208.48 = 547.77 : x
  2. Step 2: Convert to fraction form
    1,472.46/2,208.48 = 547.77/x
  3. Step 3: Cross multiply
    1,472.46x = 2,208.48 × 547.77
  4. Step 4: Simplify right side
    1,472.46x = 1,209,739.09
  5. Step 5: Solve for x
    x = 1,209,739.09/1,472.46
  6. Step 6: Final answer
    x = 821.58

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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.