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Finding the Fourth Proportional to 756.99, 1,135.69 and 432.59

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Solution

The fourth proportional to 756.99, 1,135.69 and 432.59 is: 648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.99 : 1,135.69 = 432.59 : x
  2. Step 2: Convert to fraction form
    756.99/1,135.69 = 432.59/x
  3. Step 3: Cross multiply
    756.99x = 1,135.69 × 432.59
  4. Step 4: Simplify right side
    756.99x = 491,281.38
  5. Step 5: Solve for x
    x = 491,281.38/756.99
  6. Step 6: Final answer
    x = 648.99

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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.