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Finding the Fourth Proportional to 873.23, 1,204.98 and 514.28

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Solution

The fourth proportional to 873.23, 1,204.98 and 514.28 is: 709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.23 : 1,204.98 = 514.28 : x
  2. Step 2: Convert to fraction form
    873.23/1,204.98 = 514.28/x
  3. Step 3: Cross multiply
    873.23x = 1,204.98 × 514.28
  4. Step 4: Simplify right side
    873.23x = 619,700.13
  5. Step 5: Solve for x
    x = 619,700.13/873.23
  6. Step 6: Final answer
    x = 709.66

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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.