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Finding the Fourth Proportional to 873, 1,204.81 and 500.00

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Solution

The fourth proportional to 873, 1,204.81 and 500.00 is: 690.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    873 : 1,204.81 = 500.00 : x
  2. Step 2: Convert to fraction form
    873/1,204.81 = 500.00/x
  3. Step 3: Cross multiply
    873x = 1,204.81 × 500.00
  4. Step 4: Simplify right side
    873x = 602,397.73
  5. Step 5: Solve for x
    x = 602,397.73/873
  6. Step 6: Final answer
    x = 690.03

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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.