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Finding the Fourth Proportional to 688.86, 1,032.84 and 482.28

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Solution

The fourth proportional to 688.86, 1,032.84 and 482.28 is: 723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.86 : 1,032.84 = 482.28 : x
  2. Step 2: Convert to fraction form
    688.86/1,032.84 = 482.28/x
  3. Step 3: Cross multiply
    688.86x = 1,032.84 × 482.28
  4. Step 4: Simplify right side
    688.86x = 498,118.08
  5. Step 5: Solve for x
    x = 498,118.08/688.86
  6. Step 6: Final answer
    x = 723.10

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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.