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Finding the Fourth Proportional to 954.18, 1,317.06 and 824.58

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Solution

The fourth proportional to 954.18, 1,317.06 and 824.58 is: 1,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.18 : 1,317.06 = 824.58 : x
  2. Step 2: Convert to fraction form
    954.18/1,317.06 = 824.58/x
  3. Step 3: Cross multiply
    954.18x = 1,317.06 × 824.58
  4. Step 4: Simplify right side
    954.18x = 1,086,021.33
  5. Step 5: Solve for x
    x = 1,086,021.33/954.18
  6. Step 6: Final answer
    x = 1,138.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.