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Finding the Fourth Proportional to 1,102.91, 1,654.36 and 525.38

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Solution

The fourth proportional to 1,102.91, 1,654.36 and 525.38 is: 788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.91 : 1,654.36 = 525.38 : x
  2. Step 2: Convert to fraction form
    1,102.91/1,654.36 = 525.38/x
  3. Step 3: Cross multiply
    1,102.91x = 1,654.36 × 525.38
  4. Step 4: Simplify right side
    1,102.91x = 869,158.07
  5. Step 5: Solve for x
    x = 869,158.07/1,102.91
  6. Step 6: Final answer
    x = 788.06

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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.