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Finding the Fourth Proportional to 1,706.42, 2,559.63 and 473.84

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Solution

The fourth proportional to 1,706.42, 2,559.63 and 473.84 is: 710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.42 : 2,559.63 = 473.84 : x
  2. Step 2: Convert to fraction form
    1,706.42/2,559.63 = 473.84/x
  3. Step 3: Cross multiply
    1,706.42x = 2,559.63 × 473.84
  4. Step 4: Simplify right side
    1,706.42x = 1,212,863.26
  5. Step 5: Solve for x
    x = 1,212,863.26/1,706.42
  6. Step 6: Final answer
    x = 710.76

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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.