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Finding the Fourth Proportional to 954.64, 1,315.73 and 821.53

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Solution

The fourth proportional to 954.64, 1,315.73 and 821.53 is: 1,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.64 : 1,315.73 = 821.53 : x
  2. Step 2: Convert to fraction form
    954.64/1,315.73 = 821.53/x
  3. Step 3: Cross multiply
    954.64x = 1,315.73 × 821.53
  4. Step 4: Simplify right side
    954.64x = 1,080,917.83
  5. Step 5: Solve for x
    x = 1,080,917.83/954.64
  6. Step 6: Final answer
    x = 1,132.27

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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.