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Finding the Fourth Proportional to 954.08, 1,431.32 and 521.14

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Solution

The fourth proportional to 954.08, 1,431.32 and 521.14 is: 781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.08 : 1,431.32 = 521.14 : x
  2. Step 2: Convert to fraction form
    954.08/1,431.32 = 521.14/x
  3. Step 3: Cross multiply
    954.08x = 1,431.32 × 521.14
  4. Step 4: Simplify right side
    954.08x = 745,918.10
  5. Step 5: Solve for x
    x = 745,918.10/954.08
  6. Step 6: Final answer
    x = 781.82

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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.