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Finding the Fourth Proportional to 1,502, 2,072.70 and 838.84

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Solution

The fourth proportional to 1,502, 2,072.70 and 838.84 is: 1,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502 : 2,072.70 = 838.84 : x
  2. Step 2: Convert to fraction form
    1,502/2,072.70 = 838.84/x
  3. Step 3: Cross multiply
    1,502x = 2,072.70 × 838.84
  4. Step 4: Simplify right side
    1,502x = 1,738,663.67
  5. Step 5: Solve for x
    x = 1,738,663.67/1,502
  6. Step 6: Final answer
    x = 1,157.57

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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.