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Finding the Fourth Proportional to 954.91, 1,429.53 and 520.75

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Solution

The fourth proportional to 954.91, 1,429.53 and 520.75 is: 779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.91 : 1,429.53 = 520.75 : x
  2. Step 2: Convert to fraction form
    954.91/1,429.53 = 520.75/x
  3. Step 3: Cross multiply
    954.91x = 1,429.53 × 520.75
  4. Step 4: Simplify right side
    954.91x = 744,427.75
  5. Step 5: Solve for x
    x = 744,427.75/954.91
  6. Step 6: Final answer
    x = 779.58

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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.