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Finding the Fourth Proportional to 953.22, 1,430.06 and 758.96

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Solution

The fourth proportional to 953.22, 1,430.06 and 758.96 is: 1,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.22 : 1,430.06 = 758.96 : x
  2. Step 2: Convert to fraction form
    953.22/1,430.06 = 758.96/x
  3. Step 3: Cross multiply
    953.22x = 1,430.06 × 758.96
  4. Step 4: Simplify right side
    953.22x = 1,085,347.39
  5. Step 5: Solve for x
    x = 1,085,347.39/953.22
  6. Step 6: Final answer
    x = 1,138.61

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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.