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Finding the Fourth Proportional to 805.93, 1,111.86 and 473.83

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Solution

The fourth proportional to 805.93, 1,111.86 and 473.83 is: 653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.93 : 1,111.86 = 473.83 : x
  2. Step 2: Convert to fraction form
    805.93/1,111.86 = 473.83/x
  3. Step 3: Cross multiply
    805.93x = 1,111.86 × 473.83
  4. Step 4: Simplify right side
    805.93x = 526,829.84
  5. Step 5: Solve for x
    x = 526,829.84/805.93
  6. Step 6: Final answer
    x = 653.69

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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.