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Finding the Fourth Proportional to 790.89, 1,091.28 and 459.24

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Solution

The fourth proportional to 790.89, 1,091.28 and 459.24 is: 633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.89 : 1,091.28 = 459.24 : x
  2. Step 2: Convert to fraction form
    790.89/1,091.28 = 459.24/x
  3. Step 3: Cross multiply
    790.89x = 1,091.28 × 459.24
  4. Step 4: Simplify right side
    790.89x = 501,159.43
  5. Step 5: Solve for x
    x = 501,159.43/790.89
  6. Step 6: Final answer
    x = 633.67

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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.