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Finding the Fourth Proportional to 803.96, 1,109.10 and 505.02

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Solution

The fourth proportional to 803.96, 1,109.10 and 505.02 is: 696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.96 : 1,109.10 = 505.02 : x
  2. Step 2: Convert to fraction form
    803.96/1,109.10 = 505.02/x
  3. Step 3: Cross multiply
    803.96x = 1,109.10 × 505.02
  4. Step 4: Simplify right side
    803.96x = 560,117.68
  5. Step 5: Solve for x
    x = 560,117.68/803.96
  6. Step 6: Final answer
    x = 696.70

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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.