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Finding the Fourth Proportional to 1,684.32, 2,526.61 and 451.70

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Solution

The fourth proportional to 1,684.32, 2,526.61 and 451.70 is: 677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.32 : 2,526.61 = 451.70 : x
  2. Step 2: Convert to fraction form
    1,684.32/2,526.61 = 451.70/x
  3. Step 3: Cross multiply
    1,684.32x = 2,526.61 × 451.70
  4. Step 4: Simplify right side
    1,684.32x = 1,141,274.92
  5. Step 5: Solve for x
    x = 1,141,274.92/1,684.32
  6. Step 6: Final answer
    x = 677.59

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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.