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Finding the Fourth Proportional to 1,686.12, 2,529.08 and 646.62

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Solution

The fourth proportional to 1,686.12, 2,529.08 and 646.62 is: 969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.12 : 2,529.08 = 646.62 : x
  2. Step 2: Convert to fraction form
    1,686.12/2,529.08 = 646.62/x
  3. Step 3: Cross multiply
    1,686.12x = 2,529.08 × 646.62
  4. Step 4: Simplify right side
    1,686.12x = 1,635,353.71
  5. Step 5: Solve for x
    x = 1,635,353.71/1,686.12
  6. Step 6: Final answer
    x = 969.89

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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.