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Finding the Fourth Proportional to 688, 947.78 and 578.10

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Solution

The fourth proportional to 688, 947.78 and 578.10 is: 796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    688 : 947.78 = 578.10 : x
  2. Step 2: Convert to fraction form
    688/947.78 = 578.10/x
  3. Step 3: Cross multiply
    688x = 947.78 × 578.10
  4. Step 4: Simplify right side
    688x = 547,911.62
  5. Step 5: Solve for x
    x = 547,911.62/688
  6. Step 6: Final answer
    x = 796.38

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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.