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Finding the Fourth Proportional to 884.55, 1,327.77 and 782.49

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Solution

The fourth proportional to 884.55, 1,327.77 and 782.49 is: 1,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.55 : 1,327.77 = 782.49 : x
  2. Step 2: Convert to fraction form
    884.55/1,327.77 = 782.49/x
  3. Step 3: Cross multiply
    884.55x = 1,327.77 × 782.49
  4. Step 4: Simplify right side
    884.55x = 1,038,966.75
  5. Step 5: Solve for x
    x = 1,038,966.75/884.55
  6. Step 6: Final answer
    x = 1,174.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.