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Finding the Fourth Proportional to 1,101.98, 1,652.58 and 792.91

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Solution

The fourth proportional to 1,101.98, 1,652.58 and 792.91 is: 1,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.98 : 1,652.58 = 792.91 : x
  2. Step 2: Convert to fraction form
    1,101.98/1,652.58 = 792.91/x
  3. Step 3: Cross multiply
    1,101.98x = 1,652.58 × 792.91
  4. Step 4: Simplify right side
    1,101.98x = 1,310,347.21
  5. Step 5: Solve for x
    x = 1,310,347.21/1,101.98
  6. Step 6: Final answer
    x = 1,189.08

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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.