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Finding the Fourth Proportional to 863.16, 1,293.66 and 430.44

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Solution

The fourth proportional to 863.16, 1,293.66 and 430.44 is: 645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.16 : 1,293.66 = 430.44 : x
  2. Step 2: Convert to fraction form
    863.16/1,293.66 = 430.44/x
  3. Step 3: Cross multiply
    863.16x = 1,293.66 × 430.44
  4. Step 4: Simplify right side
    863.16x = 556,843.01
  5. Step 5: Solve for x
    x = 556,843.01/863.16
  6. Step 6: Final answer
    x = 645.12

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1.5x scale

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.