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Finding the Fourth Proportional to 947.85, 1,307.82 and 554.64

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Solution

The fourth proportional to 947.85, 1,307.82 and 554.64 is: 765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.85 : 1,307.82 = 554.64 : x
  2. Step 2: Convert to fraction form
    947.85/1,307.82 = 554.64/x
  3. Step 3: Cross multiply
    947.85x = 1,307.82 × 554.64
  4. Step 4: Simplify right side
    947.85x = 725,369.28
  5. Step 5: Solve for x
    x = 725,369.28/947.85
  6. Step 6: Final answer
    x = 765.28

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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.