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Finding the Fourth Proportional to 754.48, 1,041.21 and 459.76

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Solution

The fourth proportional to 754.48, 1,041.21 and 459.76 is: 634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.48 : 1,041.21 = 459.76 : x
  2. Step 2: Convert to fraction form
    754.48/1,041.21 = 459.76/x
  3. Step 3: Cross multiply
    754.48x = 1,041.21 × 459.76
  4. Step 4: Simplify right side
    754.48x = 478,706.71
  5. Step 5: Solve for x
    x = 478,706.71/754.48
  6. Step 6: Final answer
    x = 634.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.