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Finding the Fourth Proportional to 1,706.55, 2,560.02 and 611.03

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Solution

The fourth proportional to 1,706.55, 2,560.02 and 611.03 is: 916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.55 : 2,560.02 = 611.03 : x
  2. Step 2: Convert to fraction form
    1,706.55/2,560.02 = 611.03/x
  3. Step 3: Cross multiply
    1,706.55x = 2,560.02 × 611.03
  4. Step 4: Simplify right side
    1,706.55x = 1,564,249.02
  5. Step 5: Solve for x
    x = 1,564,249.02/1,706.55
  6. Step 6: Final answer
    x = 916.61

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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.