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Finding the Fourth Proportional to 933.09, 1,287.42 and 746.96

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Solution

The fourth proportional to 933.09, 1,287.42 and 746.96 is: 1,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.09 : 1,287.42 = 746.96 : x
  2. Step 2: Convert to fraction form
    933.09/1,287.42 = 746.96/x
  3. Step 3: Cross multiply
    933.09x = 1,287.42 × 746.96
  4. Step 4: Simplify right side
    933.09x = 961,644.81
  5. Step 5: Solve for x
    x = 961,644.81/933.09
  6. Step 6: Final answer
    x = 1,030.60

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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.