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Finding the Fourth Proportional to 945.55, 1,306.04 and 727.15

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Solution

The fourth proportional to 945.55, 1,306.04 and 727.15 is: 1,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.55 : 1,306.04 = 727.15 : x
  2. Step 2: Convert to fraction form
    945.55/1,306.04 = 727.15/x
  3. Step 3: Cross multiply
    945.55x = 1,306.04 × 727.15
  4. Step 4: Simplify right side
    945.55x = 949,686.99
  5. Step 5: Solve for x
    x = 949,686.99/945.55
  6. Step 6: Final answer
    x = 1,004.38

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1.5x scale

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.