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Finding the Fourth Proportional to 1,705.98, 2,559.03 and 473.48

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Solution

The fourth proportional to 1,705.98, 2,559.03 and 473.48 is: 710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.98 : 2,559.03 = 473.48 : x
  2. Step 2: Convert to fraction form
    1,705.98/2,559.03 = 473.48/x
  3. Step 3: Cross multiply
    1,705.98x = 2,559.03 × 473.48
  4. Step 4: Simplify right side
    1,705.98x = 1,211,658.94
  5. Step 5: Solve for x
    x = 1,211,658.94/1,705.98
  6. Step 6: Final answer
    x = 710.24

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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.