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Finding the Fourth Proportional to 872.00, 1,203.35 and 473.66

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Solution

The fourth proportional to 872.00, 1,203.35 and 473.66 is: 653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.00 : 1,203.35 = 473.66 : x
  2. Step 2: Convert to fraction form
    872.00/1,203.35 = 473.66/x
  3. Step 3: Cross multiply
    872.00x = 1,203.35 × 473.66
  4. Step 4: Simplify right side
    872.00x = 569,982.95
  5. Step 5: Solve for x
    x = 569,982.95/872.00
  6. Step 6: Final answer
    x = 653.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.