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Finding the Fourth Proportional to 1,109.52, 1,670.33 and 958.86

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Solution

The fourth proportional to 1,109.52, 1,670.33 and 958.86 is: 1,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.52 : 1,670.33 = 958.86 : x
  2. Step 2: Convert to fraction form
    1,109.52/1,670.33 = 958.86/x
  3. Step 3: Cross multiply
    1,109.52x = 1,670.33 × 958.86
  4. Step 4: Simplify right side
    1,109.52x = 1,601,607.83
  5. Step 5: Solve for x
    x = 1,601,607.83/1,109.52
  6. Step 6: Final answer
    x = 1,443.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.