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Finding the Fourth Proportional to 1,706.45, 2,560.06 and 610.81

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Solution

The fourth proportional to 1,706.45, 2,560.06 and 610.81 is: 916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.45 : 2,560.06 = 610.81 : x
  2. Step 2: Convert to fraction form
    1,706.45/2,560.06 = 610.81/x
  3. Step 3: Cross multiply
    1,706.45x = 2,560.06 × 610.81
  4. Step 4: Simplify right side
    1,706.45x = 1,563,710.25
  5. Step 5: Solve for x
    x = 1,563,710.25/1,706.45
  6. Step 6: Final answer
    x = 916.35

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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.