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Finding the Fourth Proportional to 1,502.07, 2,072.83 and 838.90

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Solution

The fourth proportional to 1,502.07, 2,072.83 and 838.90 is: 1,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.07 : 2,072.83 = 838.90 : x
  2. Step 2: Convert to fraction form
    1,502.07/2,072.83 = 838.90/x
  3. Step 3: Cross multiply
    1,502.07x = 2,072.83 × 838.90
  4. Step 4: Simplify right side
    1,502.07x = 1,738,897.09
  5. Step 5: Solve for x
    x = 1,738,897.09/1,502.07
  6. Step 6: Final answer
    x = 1,157.67

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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.