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Finding the Fourth Proportional to 1,502.03, 2,072.77 and 838.88

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Solution

The fourth proportional to 1,502.03, 2,072.77 and 838.88 is: 1,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.03 : 2,072.77 = 838.88 : x
  2. Step 2: Convert to fraction form
    1,502.03/2,072.77 = 838.88/x
  3. Step 3: Cross multiply
    1,502.03x = 2,072.77 × 838.88
  4. Step 4: Simplify right side
    1,502.03x = 1,738,805.30
  5. Step 5: Solve for x
    x = 1,738,805.30/1,502.03
  6. Step 6: Final answer
    x = 1,157.64

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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.