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Finding the Fourth Proportional to 756.98, 1,134.42 and 431.66

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Solution

The fourth proportional to 756.98, 1,134.42 and 431.66 is: 646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.98 : 1,134.42 = 431.66 : x
  2. Step 2: Convert to fraction form
    756.98/1,134.42 = 431.66/x
  3. Step 3: Cross multiply
    756.98x = 1,134.42 × 431.66
  4. Step 4: Simplify right side
    756.98x = 489,683.74
  5. Step 5: Solve for x
    x = 489,683.74/756.98
  6. Step 6: Final answer
    x = 646.89

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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.