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Finding the Fourth Proportional to 805.32, 1,111.72 and 473.64

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Solution

The fourth proportional to 805.32, 1,111.72 and 473.64 is: 653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.32 : 1,111.72 = 473.64 : x
  2. Step 2: Convert to fraction form
    805.32/1,111.72 = 473.64/x
  3. Step 3: Cross multiply
    805.32x = 1,111.72 × 473.64
  4. Step 4: Simplify right side
    805.32x = 526,555.06
  5. Step 5: Solve for x
    x = 526,555.06/805.32
  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.