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Finding the Fourth Proportional to 893.18, 1,232.75 and 561.35

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Solution

The fourth proportional to 893.18, 1,232.75 and 561.35 is: 774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.18 : 1,232.75 = 561.35 : x
  2. Step 2: Convert to fraction form
    893.18/1,232.75 = 561.35/x
  3. Step 3: Cross multiply
    893.18x = 1,232.75 × 561.35
  4. Step 4: Simplify right side
    893.18x = 692,004.21
  5. Step 5: Solve for x
    x = 692,004.21/893.18
  6. Step 6: Final answer
    x = 774.76

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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.