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Finding the Fourth Proportional to 1,706.61, 2,559.87 and 474.03

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Solution

The fourth proportional to 1,706.61, 2,559.87 and 474.03 is: 711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.61 : 2,559.87 = 474.03 : x
  2. Step 2: Convert to fraction form
    1,706.61/2,559.87 = 474.03/x
  3. Step 3: Cross multiply
    1,706.61x = 2,559.87 × 474.03
  4. Step 4: Simplify right side
    1,706.61x = 1,213,455.18
  5. Step 5: Solve for x
    x = 1,213,455.18/1,706.61
  6. Step 6: Final answer
    x = 711.03

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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.