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Finding the Fourth Proportional to 1,706.86, 2,560.14 and 652.48

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Solution

The fourth proportional to 1,706.86, 2,560.14 and 652.48 is: 978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.86 : 2,560.14 = 652.48 : x
  2. Step 2: Convert to fraction form
    1,706.86/2,560.14 = 652.48/x
  3. Step 3: Cross multiply
    1,706.86x = 2,560.14 × 652.48
  4. Step 4: Simplify right side
    1,706.86x = 1,670,440.15
  5. Step 5: Solve for x
    x = 1,670,440.15/1,706.86
  6. Step 6: Final answer
    x = 978.66

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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.