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Finding the Fourth Proportional to 1,156.52, 1,735.38 and 884.36

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Solution

The fourth proportional to 1,156.52, 1,735.38 and 884.36 is: 1,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.52 : 1,735.38 = 884.36 : x
  2. Step 2: Convert to fraction form
    1,156.52/1,735.38 = 884.36/x
  3. Step 3: Cross multiply
    1,156.52x = 1,735.38 × 884.36
  4. Step 4: Simplify right side
    1,156.52x = 1,534,691.98
  5. Step 5: Solve for x
    x = 1,534,691.98/1,156.52
  6. Step 6: Final answer
    x = 1,327.00

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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.