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Finding the Fourth Proportional to 1,387.08, 1,914.16 and 757.61

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Solution

The fourth proportional to 1,387.08, 1,914.16 and 757.61 is: 1,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.08 : 1,914.16 = 757.61 : x
  2. Step 2: Convert to fraction form
    1,387.08/1,914.16 = 757.61/x
  3. Step 3: Cross multiply
    1,387.08x = 1,914.16 × 757.61
  4. Step 4: Simplify right side
    1,387.08x = 1,450,177.62
  5. Step 5: Solve for x
    x = 1,450,177.62/1,387.08
  6. Step 6: Final answer
    x = 1,045.49

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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.