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Finding the Fourth Proportional to 954.16, 1,316.86 and 581.27

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Solution

The fourth proportional to 954.16, 1,316.86 and 581.27 is: 802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.16 : 1,316.86 = 581.27 : x
  2. Step 2: Convert to fraction form
    954.16/1,316.86 = 581.27/x
  3. Step 3: Cross multiply
    954.16x = 1,316.86 × 581.27
  4. Step 4: Simplify right side
    954.16x = 765,451.21
  5. Step 5: Solve for x
    x = 765,451.21/954.16
  6. Step 6: Final answer
    x = 802.23

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