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Finding the Fourth Proportional to 1,706.63, 2,559.33 and 610.70

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Solution

The fourth proportional to 1,706.63, 2,559.33 and 610.70 is: 915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.63 : 2,559.33 = 610.70 : x
  2. Step 2: Convert to fraction form
    1,706.63/2,559.33 = 610.70/x
  3. Step 3: Cross multiply
    1,706.63x = 2,559.33 × 610.70
  4. Step 4: Simplify right side
    1,706.63x = 1,562,970.03
  5. Step 5: Solve for x
    x = 1,562,970.03/1,706.63
  6. Step 6: Final answer
    x = 915.83

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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.