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Finding the Fourth Proportional to 869.52, 1,303.14 and 638.34

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Solution

The fourth proportional to 869.52, 1,303.14 and 638.34 is: 956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.52 : 1,303.14 = 638.34 : x
  2. Step 2: Convert to fraction form
    869.52/1,303.14 = 638.34/x
  3. Step 3: Cross multiply
    869.52x = 1,303.14 × 638.34
  4. Step 4: Simplify right side
    869.52x = 831,846.39
  5. Step 5: Solve for x
    x = 831,846.39/869.52
  6. Step 6: Final answer
    x = 956.67

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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.