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Finding the Fourth Proportional to 688.14, 1,032.54 and 322.86

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Solution

The fourth proportional to 688.14, 1,032.54 and 322.86 is: 484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.14 : 1,032.54 = 322.86 : x
  2. Step 2: Convert to fraction form
    688.14/1,032.54 = 322.86/x
  3. Step 3: Cross multiply
    688.14x = 1,032.54 × 322.86
  4. Step 4: Simplify right side
    688.14x = 333,365.86
  5. Step 5: Solve for x
    x = 333,365.86/688.14
  6. Step 6: Final answer
    x = 484.44

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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.