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Finding the Fourth Proportional to 805.46, 1,111.40 and 456.14

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Solution

The fourth proportional to 805.46, 1,111.40 and 456.14 is: 629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.46 : 1,111.40 = 456.14 : x
  2. Step 2: Convert to fraction form
    805.46/1,111.40 = 456.14/x
  3. Step 3: Cross multiply
    805.46x = 1,111.40 × 456.14
  4. Step 4: Simplify right side
    805.46x = 506,954.00
  5. Step 5: Solve for x
    x = 506,954.00/805.46
  6. Step 6: Final answer
    x = 629.40

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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.