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Finding the Fourth Proportional to 1,314.46, 1,813.94 and 754.99

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Solution

The fourth proportional to 1,314.46, 1,813.94 and 754.99 is: 1,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.46 : 1,813.94 = 754.99 : x
  2. Step 2: Convert to fraction form
    1,314.46/1,813.94 = 754.99/x
  3. Step 3: Cross multiply
    1,314.46x = 1,813.94 × 754.99
  4. Step 4: Simplify right side
    1,314.46x = 1,369,497.49
  5. Step 5: Solve for x
    x = 1,369,497.49/1,314.46
  6. Step 6: Final answer
    x = 1,041.87

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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.