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Finding the Fourth Proportional to 1,109.34, 1,660.68 and 901.53

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Solution

The fourth proportional to 1,109.34, 1,660.68 and 901.53 is: 1,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.34 : 1,660.68 = 901.53 : x
  2. Step 2: Convert to fraction form
    1,109.34/1,660.68 = 901.53/x
  3. Step 3: Cross multiply
    1,109.34x = 1,660.68 × 901.53
  4. Step 4: Simplify right side
    1,109.34x = 1,497,152.84
  5. Step 5: Solve for x
    x = 1,497,152.84/1,109.34
  6. Step 6: Final answer
    x = 1,349.59

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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.