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Finding the Fourth Proportional to 1,684.64, 2,527.60 and 772

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Solution

The fourth proportional to 1,684.64, 2,527.60 and 772 is: 1,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.64 : 2,527.60 = 772 : x
  2. Step 2: Convert to fraction form
    1,684.64/2,527.60 = 772/x
  3. Step 3: Cross multiply
    1,684.64x = 2,527.60 × 772
  4. Step 4: Simplify right side
    1,684.64x = 1,951,307.20
  5. Step 5: Solve for x
    x = 1,951,307.20/1,684.64
  6. Step 6: Final answer
    x = 1,158.29

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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.