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Finding the Fourth Proportional to 805.25, 1,111.25 and 456.01

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Solution

The fourth proportional to 805.25, 1,111.25 and 456.01 is: 629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.25 : 1,111.25 = 456.01 : x
  2. Step 2: Convert to fraction form
    805.25/1,111.25 = 456.01/x
  3. Step 3: Cross multiply
    805.25x = 1,111.25 × 456.01
  4. Step 4: Simplify right side
    805.25x = 506,741.11
  5. Step 5: Solve for x
    x = 506,741.11/805.25
  6. Step 6: Final answer
    x = 629.30

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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.