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Finding the Fourth Proportional to 863.76, 1,192.02 and 509.70

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Solution

The fourth proportional to 863.76, 1,192.02 and 509.70 is: 703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.76 : 1,192.02 = 509.70 : x
  2. Step 2: Convert to fraction form
    863.76/1,192.02 = 509.70/x
  3. Step 3: Cross multiply
    863.76x = 1,192.02 × 509.70
  4. Step 4: Simplify right side
    863.76x = 607,572.59
  5. Step 5: Solve for x
    x = 607,572.59/863.76
  6. Step 6: Final answer
    x = 703.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.