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Finding the Fourth Proportional to 954.30, 1,429.77 and 835.85

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Solution

The fourth proportional to 954.30, 1,429.77 and 835.85 is: 1,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.30 : 1,429.77 = 835.85 : x
  2. Step 2: Convert to fraction form
    954.30/1,429.77 = 835.85/x
  3. Step 3: Cross multiply
    954.30x = 1,429.77 × 835.85
  4. Step 4: Simplify right side
    954.30x = 1,195,066.11
  5. Step 5: Solve for x
    x = 1,195,066.11/954.30
  6. Step 6: Final answer
    x = 1,252.30

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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.