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Finding the Fourth Proportional to 709.20, 976.68 and 512.40

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Solution

The fourth proportional to 709.20, 976.68 and 512.40 is: 705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.20 : 976.68 = 512.40 : x
  2. Step 2: Convert to fraction form
    709.20/976.68 = 512.40/x
  3. Step 3: Cross multiply
    709.20x = 976.68 × 512.40
  4. Step 4: Simplify right side
    709.20x = 500,450.83
  5. Step 5: Solve for x
    x = 500,450.83/709.20
  6. Step 6: Final answer
    x = 705.66

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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.