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Finding the Fourth Proportional to 945.55, 1,410.73 and 841.60

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Solution

The fourth proportional to 945.55, 1,410.73 and 841.60 is: 1,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.55 : 1,410.73 = 841.60 : x
  2. Step 2: Convert to fraction form
    945.55/1,410.73 = 841.60/x
  3. Step 3: Cross multiply
    945.55x = 1,410.73 × 841.60
  4. Step 4: Simplify right side
    945.55x = 1,187,270.37
  5. Step 5: Solve for x
    x = 1,187,270.37/945.55
  6. Step 6: Final answer
    x = 1,255.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.