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Finding the Fourth Proportional to 1,684.68, 2,527.24 and 588.96

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Solution

The fourth proportional to 1,684.68, 2,527.24 and 588.96 is: 883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.68 : 2,527.24 = 588.96 : x
  2. Step 2: Convert to fraction form
    1,684.68/2,527.24 = 588.96/x
  3. Step 3: Cross multiply
    1,684.68x = 2,527.24 × 588.96
  4. Step 4: Simplify right side
    1,684.68x = 1,488,443.27
  5. Step 5: Solve for x
    x = 1,488,443.27/1,684.68
  6. Step 6: Final answer
    x = 883.52

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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.