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Finding the Fourth Proportional to 1,177.93, 1,623.60 and 941.46

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Solution

The fourth proportional to 1,177.93, 1,623.60 and 941.46 is: 1,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.93 : 1,623.60 = 941.46 : x
  2. Step 2: Convert to fraction form
    1,177.93/1,623.60 = 941.46/x
  3. Step 3: Cross multiply
    1,177.93x = 1,623.60 × 941.46
  4. Step 4: Simplify right side
    1,177.93x = 1,528,551.02
  5. Step 5: Solve for x
    x = 1,528,551.02/1,177.93
  6. Step 6: Final answer
    x = 1,297.66

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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.