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Finding the Fourth Proportional to 893.10, 1,233.08 and 557.13

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Solution

The fourth proportional to 893.10, 1,233.08 and 557.13 is: 769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.10 : 1,233.08 = 557.13 : x
  2. Step 2: Convert to fraction form
    893.10/1,233.08 = 557.13/x
  3. Step 3: Cross multiply
    893.10x = 1,233.08 × 557.13
  4. Step 4: Simplify right side
    893.10x = 686,983.07
  5. Step 5: Solve for x
    x = 686,983.07/893.10
  6. Step 6: Final answer
    x = 769.22

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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.