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Finding the Fourth Proportional to 941.68, 1,422.52 and 933.58

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Solution

The fourth proportional to 941.68, 1,422.52 and 933.58 is: 1,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.68 : 1,422.52 = 933.58 : x
  2. Step 2: Convert to fraction form
    941.68/1,422.52 = 933.58/x
  3. Step 3: Cross multiply
    941.68x = 1,422.52 × 933.58
  4. Step 4: Simplify right side
    941.68x = 1,328,036.22
  5. Step 5: Solve for x
    x = 1,328,036.22/941.68
  6. Step 6: Final answer
    x = 1,410.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.