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Finding the Fourth Proportional to 709.23, 977.36 and 578.01

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Solution

The fourth proportional to 709.23, 977.36 and 578.01 is: 796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.23 : 977.36 = 578.01 : x
  2. Step 2: Convert to fraction form
    709.23/977.36 = 578.01/x
  3. Step 3: Cross multiply
    709.23x = 977.36 × 578.01
  4. Step 4: Simplify right side
    709.23x = 564,920.96
  5. Step 5: Solve for x
    x = 564,920.96/709.23
  6. Step 6: Final answer
    x = 796.53

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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.