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Finding the Fourth Proportional to 933.69, 1,288.58 and 700.41

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Solution

The fourth proportional to 933.69, 1,288.58 and 700.41 is: 966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.69 : 1,288.58 = 700.41 : x
  2. Step 2: Convert to fraction form
    933.69/1,288.58 = 700.41/x
  3. Step 3: Cross multiply
    933.69x = 1,288.58 × 700.41
  4. Step 4: Simplify right side
    933.69x = 902,529.63
  5. Step 5: Solve for x
    x = 902,529.63/933.69
  6. Step 6: Final answer
    x = 966.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.