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Finding the Fourth Proportional to 893.84, 1,232.50 and 561.86

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Solution

The fourth proportional to 893.84, 1,232.50 and 561.86 is: 774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.84 : 1,232.50 = 561.86 : x
  2. Step 2: Convert to fraction form
    893.84/1,232.50 = 561.86/x
  3. Step 3: Cross multiply
    893.84x = 1,232.50 × 561.86
  4. Step 4: Simplify right side
    893.84x = 692,492.45
  5. Step 5: Solve for x
    x = 692,492.45/893.84
  6. Step 6: Final answer
    x = 774.74

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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.