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Finding the Fourth Proportional to 688.34, 1,032.23 and 341.55

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Solution

The fourth proportional to 688.34, 1,032.23 and 341.55 is: 512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.34 : 1,032.23 = 341.55 : x
  2. Step 2: Convert to fraction form
    688.34/1,032.23 = 341.55/x
  3. Step 3: Cross multiply
    688.34x = 1,032.23 × 341.55
  4. Step 4: Simplify right side
    688.34x = 352,559.01
  5. Step 5: Solve for x
    x = 352,559.01/688.34
  6. Step 6: Final answer
    x = 512.19

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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.