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Finding the Fourth Proportional to 954.09, 1,430.46 and 466.83

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Solution

The fourth proportional to 954.09, 1,430.46 and 466.83 is: 699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.09 : 1,430.46 = 466.83 : x
  2. Step 2: Convert to fraction form
    954.09/1,430.46 = 466.83/x
  3. Step 3: Cross multiply
    954.09x = 1,430.46 × 466.83
  4. Step 4: Simplify right side
    954.09x = 667,781.64
  5. Step 5: Solve for x
    x = 667,781.64/954.09
  6. Step 6: Final answer
    x = 699.91

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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.