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Finding the Fourth Proportional to 688.50, 1,032.96 and 346.50

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Solution

The fourth proportional to 688.50, 1,032.96 and 346.50 is: 519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.50 : 1,032.96 = 346.50 : x
  2. Step 2: Convert to fraction form
    688.50/1,032.96 = 346.50/x
  3. Step 3: Cross multiply
    688.50x = 1,032.96 × 346.50
  4. Step 4: Simplify right side
    688.50x = 357,920.64
  5. Step 5: Solve for x
    x = 357,920.64/688.50
  6. Step 6: Final answer
    x = 519.86

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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.