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Finding the Fourth Proportional to 953.30, 1,317.35 and 811.44

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Solution

The fourth proportional to 953.30, 1,317.35 and 811.44 is: 1,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.30 : 1,317.35 = 811.44 : x
  2. Step 2: Convert to fraction form
    953.30/1,317.35 = 811.44/x
  3. Step 3: Cross multiply
    953.30x = 1,317.35 × 811.44
  4. Step 4: Simplify right side
    953.30x = 1,068,952.51
  5. Step 5: Solve for x
    x = 1,068,952.51/953.30
  6. Step 6: Final answer
    x = 1,121.32

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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.