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Finding the Fourth Proportional to 954.74, 1,317.64 and 581.82

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Solution

The fourth proportional to 954.74, 1,317.64 and 581.82 is: 802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.74 : 1,317.64 = 581.82 : x
  2. Step 2: Convert to fraction form
    954.74/1,317.64 = 581.82/x
  3. Step 3: Cross multiply
    954.74x = 1,317.64 × 581.82
  4. Step 4: Simplify right side
    954.74x = 766,629.30
  5. Step 5: Solve for x
    x = 766,629.30/954.74
  6. Step 6: Final answer
    x = 802.97

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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.