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Finding the Fourth Proportional to 1,101.68, 1,654.68 and 972.08

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Solution

The fourth proportional to 1,101.68, 1,654.68 and 972.08 is: 1,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.68 : 1,654.68 = 972.08 : x
  2. Step 2: Convert to fraction form
    1,101.68/1,654.68 = 972.08/x
  3. Step 3: Cross multiply
    1,101.68x = 1,654.68 × 972.08
  4. Step 4: Simplify right side
    1,101.68x = 1,608,481.33
  5. Step 5: Solve for x
    x = 1,608,481.33/1,101.68
  6. Step 6: Final answer
    x = 1,460.03

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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.