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Finding the Fourth Proportional to 947.88, 1,307.06 and 554.83

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Solution

The fourth proportional to 947.88, 1,307.06 and 554.83 is: 765.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.88 : 1,307.06 = 554.83 : x
  2. Step 2: Convert to fraction form
    947.88/1,307.06 = 554.83/x
  3. Step 3: Cross multiply
    947.88x = 1,307.06 × 554.83
  4. Step 4: Simplify right side
    947.88x = 725,196.10
  5. Step 5: Solve for x
    x = 725,196.10/947.88
  6. Step 6: Final answer
    x = 765.07

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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.