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Finding the Fourth Proportional to 805.14, 1,111.02 and 455.76

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Solution

The fourth proportional to 805.14, 1,111.02 and 455.76 is: 628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.14 : 1,111.02 = 455.76 : x
  2. Step 2: Convert to fraction form
    805.14/1,111.02 = 455.76/x
  3. Step 3: Cross multiply
    805.14x = 1,111.02 × 455.76
  4. Step 4: Simplify right side
    805.14x = 506,358.48
  5. Step 5: Solve for x
    x = 506,358.48/805.14
  6. Step 6: Final answer
    x = 628.91

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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.