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Finding the Fourth Proportional to 954.46, 1,429.54 and 817.77

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Solution

The fourth proportional to 954.46, 1,429.54 and 817.77 is: 1,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.46 : 1,429.54 = 817.77 : x
  2. Step 2: Convert to fraction form
    954.46/1,429.54 = 817.77/x
  3. Step 3: Cross multiply
    954.46x = 1,429.54 × 817.77
  4. Step 4: Simplify right side
    954.46x = 1,169,034.93
  5. Step 5: Solve for x
    x = 1,169,034.93/954.46
  6. Step 6: Final answer
    x = 1,224.81

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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.