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Finding the Fourth Proportional to 1,686.76, 2,529.54 and 712.33

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Solution

The fourth proportional to 1,686.76, 2,529.54 and 712.33 is: 1,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.76 : 2,529.54 = 712.33 : x
  2. Step 2: Convert to fraction form
    1,686.76/2,529.54 = 712.33/x
  3. Step 3: Cross multiply
    1,686.76x = 2,529.54 × 712.33
  4. Step 4: Simplify right side
    1,686.76x = 1,801,867.23
  5. Step 5: Solve for x
    x = 1,801,867.23/1,686.76
  6. Step 6: Final answer
    x = 1,068.24

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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.