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Finding the Fourth Proportional to 1,705.46, 2,558.36 and 472.88

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Solution

The fourth proportional to 1,705.46, 2,558.36 and 472.88 is: 709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.46 : 2,558.36 = 472.88 : x
  2. Step 2: Convert to fraction form
    1,705.46/2,558.36 = 472.88/x
  3. Step 3: Cross multiply
    1,705.46x = 2,558.36 × 472.88
  4. Step 4: Simplify right side
    1,705.46x = 1,209,804.85
  5. Step 5: Solve for x
    x = 1,209,804.85/1,705.46
  6. Step 6: Final answer
    x = 709.37

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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.