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Finding the Fourth Proportional to 873.28, 1,309.23 and 598.53

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Solution

The fourth proportional to 873.28, 1,309.23 and 598.53 is: 897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.28 : 1,309.23 = 598.53 : x
  2. Step 2: Convert to fraction form
    873.28/1,309.23 = 598.53/x
  3. Step 3: Cross multiply
    873.28x = 1,309.23 × 598.53
  4. Step 4: Simplify right side
    873.28x = 783,610.44
  5. Step 5: Solve for x
    x = 783,610.44/873.28
  6. Step 6: Final answer
    x = 897.32

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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.