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Finding the Fourth Proportional to 805.36, 1,111.15 and 473.91

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Solution

The fourth proportional to 805.36, 1,111.15 and 473.91 is: 653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.36 : 1,111.15 = 473.91 : x
  2. Step 2: Convert to fraction form
    805.36/1,111.15 = 473.91/x
  3. Step 3: Cross multiply
    805.36x = 1,111.15 × 473.91
  4. Step 4: Simplify right side
    805.36x = 526,585.10
  5. Step 5: Solve for x
    x = 526,585.10/805.36
  6. Step 6: Final answer
    x = 653.85

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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.