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Finding the Fourth Proportional to 1,472.02, 2,208.02 and 484.82

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Solution

The fourth proportional to 1,472.02, 2,208.02 and 484.82 is: 727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.02 : 2,208.02 = 484.82 : x
  2. Step 2: Convert to fraction form
    1,472.02/2,208.02 = 484.82/x
  3. Step 3: Cross multiply
    1,472.02x = 2,208.02 × 484.82
  4. Step 4: Simplify right side
    1,472.02x = 1,070,492.26
  5. Step 5: Solve for x
    x = 1,070,492.26/1,472.02
  6. Step 6: Final answer
    x = 727.23

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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.