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Finding the Fourth Proportional to 1,705.44, 2,558.13 and 472.83

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Solution

The fourth proportional to 1,705.44, 2,558.13 and 472.83 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.44 : 2,558.13 = 472.83 : x
  2. Step 2: Convert to fraction form
    1,705.44/2,558.13 = 472.83/x
  3. Step 3: Cross multiply
    1,705.44x = 2,558.13 × 472.83
  4. Step 4: Simplify right side
    1,705.44x = 1,209,560.61
  5. Step 5: Solve for x
    x = 1,209,560.61/1,705.44
  6. Step 6: Final answer
    x = 709.24

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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.