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Finding the Fourth Proportional to 1,192.60, 1,645.72 and 661.42

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Solution

The fourth proportional to 1,192.60, 1,645.72 and 661.42 is: 912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.60 : 1,645.72 = 661.42 : x
  2. Step 2: Convert to fraction form
    1,192.60/1,645.72 = 661.42/x
  3. Step 3: Cross multiply
    1,192.60x = 1,645.72 × 661.42
  4. Step 4: Simplify right side
    1,192.60x = 1,088,512.12
  5. Step 5: Solve for x
    x = 1,088,512.12/1,192.60
  6. Step 6: Final answer
    x = 912.72

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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.