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Finding the Fourth Proportional to 1,686.35, 2,528.97 and 712.26

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Solution

The fourth proportional to 1,686.35, 2,528.97 and 712.26 is: 1,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.35 : 2,528.97 = 712.26 : x
  2. Step 2: Convert to fraction form
    1,686.35/2,528.97 = 712.26/x
  3. Step 3: Cross multiply
    1,686.35x = 2,528.97 × 712.26
  4. Step 4: Simplify right side
    1,686.35x = 1,801,284.17
  5. Step 5: Solve for x
    x = 1,801,284.17/1,686.35
  6. Step 6: Final answer
    x = 1,068.16

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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.