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Finding the Fourth Proportional to 954.15, 1,317.02 and 581.46

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Solution

The fourth proportional to 954.15, 1,317.02 and 581.46 is: 802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.15 : 1,317.02 = 581.46 : x
  2. Step 2: Convert to fraction form
    954.15/1,317.02 = 581.46/x
  3. Step 3: Cross multiply
    954.15x = 1,317.02 × 581.46
  4. Step 4: Simplify right side
    954.15x = 765,794.45
  5. Step 5: Solve for x
    x = 765,794.45/954.15
  6. Step 6: Final answer
    x = 802.59

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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.