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Finding the Fourth Proportional to 863.74, 1,296.15 and 430.93

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Solution

The fourth proportional to 863.74, 1,296.15 and 430.93 is: 646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.74 : 1,296.15 = 430.93 : x
  2. Step 2: Convert to fraction form
    863.74/1,296.15 = 430.93/x
  3. Step 3: Cross multiply
    863.74x = 1,296.15 × 430.93
  4. Step 4: Simplify right side
    863.74x = 558,549.92
  5. Step 5: Solve for x
    x = 558,549.92/863.74
  6. Step 6: Final answer
    x = 646.66

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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.