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Finding the Fourth Proportional to 754.52, 1,130.83 and 430.07

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Solution

The fourth proportional to 754.52, 1,130.83 and 430.07 is: 644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.52 : 1,130.83 = 430.07 : x
  2. Step 2: Convert to fraction form
    754.52/1,130.83 = 430.07/x
  3. Step 3: Cross multiply
    754.52x = 1,130.83 × 430.07
  4. Step 4: Simplify right side
    754.52x = 486,329.33
  5. Step 5: Solve for x
    x = 486,329.33/754.52
  6. Step 6: Final answer
    x = 644.56

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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.