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Finding the Fourth Proportional to 870.72, 1,201.51 and 477.73

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Solution

The fourth proportional to 870.72, 1,201.51 and 477.73 is: 659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.72 : 1,201.51 = 477.73 : x
  2. Step 2: Convert to fraction form
    870.72/1,201.51 = 477.73/x
  3. Step 3: Cross multiply
    870.72x = 1,201.51 × 477.73
  4. Step 4: Simplify right side
    870.72x = 573,997.37
  5. Step 5: Solve for x
    x = 573,997.37/870.72
  6. Step 6: Final answer
    x = 659.22

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Double scale
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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.