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Finding the Fourth Proportional to 893.31, 1,232.49 and 515.08

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Solution

The fourth proportional to 893.31, 1,232.49 and 515.08 is: 710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.31 : 1,232.49 = 515.08 : x
  2. Step 2: Convert to fraction form
    893.31/1,232.49 = 515.08/x
  3. Step 3: Cross multiply
    893.31x = 1,232.49 × 515.08
  4. Step 4: Simplify right side
    893.31x = 634,830.95
  5. Step 5: Solve for x
    x = 634,830.95/893.31
  6. Step 6: Final answer
    x = 710.65

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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.