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Finding the Fourth Proportional to 1,103.64, 1,654.49 and 713.94

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Solution

The fourth proportional to 1,103.64, 1,654.49 and 713.94 is: 1,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.64 : 1,654.49 = 713.94 : x
  2. Step 2: Convert to fraction form
    1,103.64/1,654.49 = 713.94/x
  3. Step 3: Cross multiply
    1,103.64x = 1,654.49 × 713.94
  4. Step 4: Simplify right side
    1,103.64x = 1,181,203.02
  5. Step 5: Solve for x
    x = 1,181,203.02/1,103.64
  6. Step 6: Final answer
    x = 1,070.28

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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.