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Finding the Fourth Proportional to 954.18, 1,431.27 and 521.64

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Solution

The fourth proportional to 954.18, 1,431.27 and 521.64 is: 782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.18 : 1,431.27 = 521.64 : x
  2. Step 2: Convert to fraction form
    954.18/1,431.27 = 521.64/x
  3. Step 3: Cross multiply
    954.18x = 1,431.27 × 521.64
  4. Step 4: Simplify right side
    954.18x = 746,607.68
  5. Step 5: Solve for x
    x = 746,607.68/954.18
  6. Step 6: Final answer
    x = 782.46

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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.