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Finding the Fourth Proportional to 923.55, 1,274.60 and 894.87

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Solution

The fourth proportional to 923.55, 1,274.60 and 894.87 is: 1,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.55 : 1,274.60 = 894.87 : x
  2. Step 2: Convert to fraction form
    923.55/1,274.60 = 894.87/x
  3. Step 3: Cross multiply
    923.55x = 1,274.60 × 894.87
  4. Step 4: Simplify right side
    923.55x = 1,140,596.83
  5. Step 5: Solve for x
    x = 1,140,596.83/923.55
  6. Step 6: Final answer
    x = 1,235.01

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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.