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Finding the Fourth Proportional to 803.56, 1,209.43 and 724

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Solution

The fourth proportional to 803.56, 1,209.43 and 724 is: 1,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.56 : 1,209.43 = 724 : x
  2. Step 2: Convert to fraction form
    803.56/1,209.43 = 724/x
  3. Step 3: Cross multiply
    803.56x = 1,209.43 × 724
  4. Step 4: Simplify right side
    803.56x = 875,627.32
  5. Step 5: Solve for x
    x = 875,627.32/803.56
  6. Step 6: Final answer
    x = 1,089.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.