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Finding the Fourth Proportional to 709.18, 1,064.12 and 293.01

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Solution

The fourth proportional to 709.18, 1,064.12 and 293.01 is: 439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.18 : 1,064.12 = 293.01 : x
  2. Step 2: Convert to fraction form
    709.18/1,064.12 = 293.01/x
  3. Step 3: Cross multiply
    709.18x = 1,064.12 × 293.01
  4. Step 4: Simplify right side
    709.18x = 311,801.43
  5. Step 5: Solve for x
    x = 311,801.43/709.18
  6. Step 6: Final answer
    x = 439.67

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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.