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Finding the Fourth Proportional to 1,192.35, 1,644.66 and 912.63

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Solution

The fourth proportional to 1,192.35, 1,644.66 and 912.63 is: 1,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.35 : 1,644.66 = 912.63 : x
  2. Step 2: Convert to fraction form
    1,192.35/1,644.66 = 912.63/x
  3. Step 3: Cross multiply
    1,192.35x = 1,644.66 × 912.63
  4. Step 4: Simplify right side
    1,192.35x = 1,500,966.06
  5. Step 5: Solve for x
    x = 1,500,966.06/1,192.35
  6. Step 6: Final answer
    x = 1,258.83

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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.