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Finding the Fourth Proportional to 947.89, 1,307.77 and 554.64

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Solution

The fourth proportional to 947.89, 1,307.77 and 554.64 is: 765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.89 : 1,307.77 = 554.64 : x
  2. Step 2: Convert to fraction form
    947.89/1,307.77 = 554.64/x
  3. Step 3: Cross multiply
    947.89x = 1,307.77 × 554.64
  4. Step 4: Simplify right side
    947.89x = 725,341.55
  5. Step 5: Solve for x
    x = 725,341.55/947.89
  6. Step 6: Final answer
    x = 765.22

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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.