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Finding the Fourth Proportional to 803.76, 1,109.05 and 454.38

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Solution

The fourth proportional to 803.76, 1,109.05 and 454.38 is: 626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.76 : 1,109.05 = 454.38 : x
  2. Step 2: Convert to fraction form
    803.76/1,109.05 = 454.38/x
  3. Step 3: Cross multiply
    803.76x = 1,109.05 × 454.38
  4. Step 4: Simplify right side
    803.76x = 503,930.14
  5. Step 5: Solve for x
    x = 503,930.14/803.76
  6. Step 6: Final answer
    x = 626.97

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1.5x scale

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.