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Finding the Fourth Proportional to 805.06, 1,110.90 and 473.50

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Solution

The fourth proportional to 805.06, 1,110.90 and 473.50 is: 653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.06 : 1,110.90 = 473.50 : x
  2. Step 2: Convert to fraction form
    805.06/1,110.90 = 473.50/x
  3. Step 3: Cross multiply
    805.06x = 1,110.90 × 473.50
  4. Step 4: Simplify right side
    805.06x = 526,011.15
  5. Step 5: Solve for x
    x = 526,011.15/805.06
  6. Step 6: Final answer
    x = 653.38

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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.