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Finding the Fourth Proportional to 947.71, 1,307.64 and 554.66

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Solution

The fourth proportional to 947.71, 1,307.64 and 554.66 is: 765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.71 : 1,307.64 = 554.66 : x
  2. Step 2: Convert to fraction form
    947.71/1,307.64 = 554.66/x
  3. Step 3: Cross multiply
    947.71x = 1,307.64 × 554.66
  4. Step 4: Simplify right side
    947.71x = 725,295.60
  5. Step 5: Solve for x
    x = 725,295.60/947.71
  6. Step 6: Final answer
    x = 765.31

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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.