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Finding the Fourth Proportional to 1,272.75, 1,756.53 and 923.64

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Solution

The fourth proportional to 1,272.75, 1,756.53 and 923.64 is: 1,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.75 : 1,756.53 = 923.64 : x
  2. Step 2: Convert to fraction form
    1,272.75/1,756.53 = 923.64/x
  3. Step 3: Cross multiply
    1,272.75x = 1,756.53 × 923.64
  4. Step 4: Simplify right side
    1,272.75x = 1,622,401.37
  5. Step 5: Solve for x
    x = 1,622,401.37/1,272.75
  6. Step 6: Final answer
    x = 1,274.72

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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.