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Finding the Fourth Proportional to 1,494.50, 2,240.69 and 703.57

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Solution

The fourth proportional to 1,494.50, 2,240.69 and 703.57 is: 1,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.50 : 2,240.69 = 703.57 : x
  2. Step 2: Convert to fraction form
    1,494.50/2,240.69 = 703.57/x
  3. Step 3: Cross multiply
    1,494.50x = 2,240.69 × 703.57
  4. Step 4: Simplify right side
    1,494.50x = 1,576,482.26
  5. Step 5: Solve for x
    x = 1,576,482.26/1,494.50
  6. Step 6: Final answer
    x = 1,054.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.