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Finding the Fourth Proportional to 824.90, 1,235.71 and 434.30

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Solution

The fourth proportional to 824.90, 1,235.71 and 434.30 is: 650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.90 : 1,235.71 = 434.30 : x
  2. Step 2: Convert to fraction form
    824.90/1,235.71 = 434.30/x
  3. Step 3: Cross multiply
    824.90x = 1,235.71 × 434.30
  4. Step 4: Simplify right side
    824.90x = 536,670.86
  5. Step 5: Solve for x
    x = 536,670.86/824.90
  6. Step 6: Final answer
    x = 650.59

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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.