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Finding the Fourth Proportional to 954.14, 1,316.82 and 581.34

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Solution

The fourth proportional to 954.14, 1,316.82 and 581.34 is: 802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.14 : 1,316.82 = 581.34 : x
  2. Step 2: Convert to fraction form
    954.14/1,316.82 = 581.34/x
  3. Step 3: Cross multiply
    954.14x = 1,316.82 × 581.34
  4. Step 4: Simplify right side
    954.14x = 765,520.14
  5. Step 5: Solve for x
    x = 765,520.14/954.14
  6. Step 6: Final answer
    x = 802.31

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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.