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Finding the Fourth Proportional to 893.02, 1,232.45 and 500.13

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Solution

The fourth proportional to 893.02, 1,232.45 and 500.13 is: 690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.02 : 1,232.45 = 500.13 : x
  2. Step 2: Convert to fraction form
    893.02/1,232.45 = 500.13/x
  3. Step 3: Cross multiply
    893.02x = 1,232.45 × 500.13
  4. Step 4: Simplify right side
    893.02x = 616,376.56
  5. Step 5: Solve for x
    x = 616,376.56/893.02
  6. Step 6: Final answer
    x = 690.22

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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.