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Finding the Fourth Proportional to 887.82, 1,224.76 and 533.56

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Solution

The fourth proportional to 887.82, 1,224.76 and 533.56 is: 736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.82 : 1,224.76 = 533.56 : x
  2. Step 2: Convert to fraction form
    887.82/1,224.76 = 533.56/x
  3. Step 3: Cross multiply
    887.82x = 1,224.76 × 533.56
  4. Step 4: Simplify right side
    887.82x = 653,482.95
  5. Step 5: Solve for x
    x = 653,482.95/887.82
  6. Step 6: Final answer
    x = 736.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.