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Finding the Fourth Proportional to 1,706.64, 2,560.77 and 840.75

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Solution

The fourth proportional to 1,706.64, 2,560.77 and 840.75 is: 1,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.64 : 2,560.77 = 840.75 : x
  2. Step 2: Convert to fraction form
    1,706.64/2,560.77 = 840.75/x
  3. Step 3: Cross multiply
    1,706.64x = 2,560.77 × 840.75
  4. Step 4: Simplify right side
    1,706.64x = 2,152,967.38
  5. Step 5: Solve for x
    x = 2,152,967.38/1,706.64
  6. Step 6: Final answer
    x = 1,261.52

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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.