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Finding the Fourth Proportional to 792.35, 1,188.63 and 426.93

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Solution

The fourth proportional to 792.35, 1,188.63 and 426.93 is: 640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.35 : 1,188.63 = 426.93 : x
  2. Step 2: Convert to fraction form
    792.35/1,188.63 = 426.93/x
  3. Step 3: Cross multiply
    792.35x = 1,188.63 × 426.93
  4. Step 4: Simplify right side
    792.35x = 507,461.81
  5. Step 5: Solve for x
    x = 507,461.81/792.35
  6. Step 6: Final answer
    x = 640.46

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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.