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Finding the Fourth Proportional to 873.33, 1,205.28 and 500.34

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Solution

The fourth proportional to 873.33, 1,205.28 and 500.34 is: 690.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.33 : 1,205.28 = 500.34 : x
  2. Step 2: Convert to fraction form
    873.33/1,205.28 = 500.34/x
  3. Step 3: Cross multiply
    873.33x = 1,205.28 × 500.34
  4. Step 4: Simplify right side
    873.33x = 603,049.80
  5. Step 5: Solve for x
    x = 603,049.80/873.33
  6. Step 6: Final answer
    x = 690.52

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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.