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Finding the Fourth Proportional to 1,103.07, 1,654.61 and 524.19

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Solution

The fourth proportional to 1,103.07, 1,654.61 and 524.19 is: 786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.07 : 1,654.61 = 524.19 : x
  2. Step 2: Convert to fraction form
    1,103.07/1,654.61 = 524.19/x
  3. Step 3: Cross multiply
    1,103.07x = 1,654.61 × 524.19
  4. Step 4: Simplify right side
    1,103.07x = 867,327.39
  5. Step 5: Solve for x
    x = 867,327.39/1,103.07
  6. Step 6: Final answer
    x = 786.29

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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.