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Finding the Fourth Proportional to 754.59, 1,041.35 and 459.81

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Solution

The fourth proportional to 754.59, 1,041.35 and 459.81 is: 634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.59 : 1,041.35 = 459.81 : x
  2. Step 2: Convert to fraction form
    754.59/1,041.35 = 459.81/x
  3. Step 3: Cross multiply
    754.59x = 1,041.35 × 459.81
  4. Step 4: Simplify right side
    754.59x = 478,820.84
  5. Step 5: Solve for x
    x = 478,820.84/754.59
  6. Step 6: Final answer
    x = 634.54

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