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Finding the Fourth Proportional to 1,706.98, 2,560.18 and 552.73

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Solution

The fourth proportional to 1,706.98, 2,560.18 and 552.73 is: 829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.98 : 2,560.18 = 552.73 : x
  2. Step 2: Convert to fraction form
    1,706.98/2,560.18 = 552.73/x
  3. Step 3: Cross multiply
    1,706.98x = 2,560.18 × 552.73
  4. Step 4: Simplify right side
    1,706.98x = 1,415,088.29
  5. Step 5: Solve for x
    x = 1,415,088.29/1,706.98
  6. Step 6: Final answer
    x = 829.00

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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.