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Finding the Fourth Proportional to 1,706.32, 2,559.39 and 473.73

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Solution

The fourth proportional to 1,706.32, 2,559.39 and 473.73 is: 710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.32 : 2,559.39 = 473.73 : x
  2. Step 2: Convert to fraction form
    1,706.32/2,559.39 = 473.73/x
  3. Step 3: Cross multiply
    1,706.32x = 2,559.39 × 473.73
  4. Step 4: Simplify right side
    1,706.32x = 1,212,459.82
  5. Step 5: Solve for x
    x = 1,212,459.82/1,706.32
  6. Step 6: Final answer
    x = 710.57

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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.