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Finding the Fourth Proportional to 754.33, 1,130.63 and 507.68

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Solution

The fourth proportional to 754.33, 1,130.63 and 507.68 is: 760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.33 : 1,130.63 = 507.68 : x
  2. Step 2: Convert to fraction form
    754.33/1,130.63 = 507.68/x
  3. Step 3: Cross multiply
    754.33x = 1,130.63 × 507.68
  4. Step 4: Simplify right side
    754.33x = 573,995.70
  5. Step 5: Solve for x
    x = 573,995.70/754.33
  6. Step 6: Final answer
    x = 760.94

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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.