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Finding the Fourth Proportional to 1,245.04, 1,874.84 and 922.68

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Solution

The fourth proportional to 1,245.04, 1,874.84 and 922.68 is: 1,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.04 : 1,874.84 = 922.68 : x
  2. Step 2: Convert to fraction form
    1,245.04/1,874.84 = 922.68/x
  3. Step 3: Cross multiply
    1,245.04x = 1,874.84 × 922.68
  4. Step 4: Simplify right side
    1,245.04x = 1,729,877.37
  5. Step 5: Solve for x
    x = 1,729,877.37/1,245.04
  6. Step 6: Final answer
    x = 1,389.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.