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Finding the Fourth Proportional to 805.26, 1,111.10 and 473.79

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Solution

The fourth proportional to 805.26, 1,111.10 and 473.79 is: 653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.26 : 1,111.10 = 473.79 : x
  2. Step 2: Convert to fraction form
    805.26/1,111.10 = 473.79/x
  3. Step 3: Cross multiply
    805.26x = 1,111.10 × 473.79
  4. Step 4: Simplify right side
    805.26x = 526,430.75
  5. Step 5: Solve for x
    x = 526,430.75/805.26
  6. Step 6: Final answer
    x = 653.74

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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.