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Finding the Fourth Proportional to 1,242.70, 1,715.37 and 770.67

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Solution

The fourth proportional to 1,242.70, 1,715.37 and 770.67 is: 1,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.70 : 1,715.37 = 770.67 : x
  2. Step 2: Convert to fraction form
    1,242.70/1,715.37 = 770.67/x
  3. Step 3: Cross multiply
    1,242.70x = 1,715.37 × 770.67
  4. Step 4: Simplify right side
    1,242.70x = 1,321,984.20
  5. Step 5: Solve for x
    x = 1,321,984.20/1,242.70
  6. Step 6: Final answer
    x = 1,063.80

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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.