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Finding the Fourth Proportional to 803.55, 1,204.01 and 773.58

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Solution

The fourth proportional to 803.55, 1,204.01 and 773.58 is: 1,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.55 : 1,204.01 = 773.58 : x
  2. Step 2: Convert to fraction form
    803.55/1,204.01 = 773.58/x
  3. Step 3: Cross multiply
    803.55x = 1,204.01 × 773.58
  4. Step 4: Simplify right side
    803.55x = 931,394.19
  5. Step 5: Solve for x
    x = 931,394.19/803.55
  6. Step 6: Final answer
    x = 1,159.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.