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Finding the Fourth Proportional to 954.15, 1,433.54 and 781.93

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Solution

The fourth proportional to 954.15, 1,433.54 and 781.93 is: 1,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.15 : 1,433.54 = 781.93 : x
  2. Step 2: Convert to fraction form
    954.15/1,433.54 = 781.93/x
  3. Step 3: Cross multiply
    954.15x = 1,433.54 × 781.93
  4. Step 4: Simplify right side
    954.15x = 1,120,927.93
  5. Step 5: Solve for x
    x = 1,120,927.93/954.15
  6. Step 6: Final answer
    x = 1,174.79

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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.