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Finding the Fourth Proportional to 1,706.37, 2,559.26 and 473.90

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Solution

The fourth proportional to 1,706.37, 2,559.26 and 473.90 is: 710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.37 : 2,559.26 = 473.90 : x
  2. Step 2: Convert to fraction form
    1,706.37/2,559.26 = 473.90/x
  3. Step 3: Cross multiply
    1,706.37x = 2,559.26 × 473.90
  4. Step 4: Simplify right side
    1,706.37x = 1,212,833.31
  5. Step 5: Solve for x
    x = 1,212,833.31/1,706.37
  6. Step 6: Final answer
    x = 710.77

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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.