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Finding the Fourth Proportional to 947.23, 1,307.17 and 554.17

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Solution

The fourth proportional to 947.23, 1,307.17 and 554.17 is: 764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.23 : 1,307.17 = 554.17 : x
  2. Step 2: Convert to fraction form
    947.23/1,307.17 = 554.17/x
  3. Step 3: Cross multiply
    947.23x = 1,307.17 × 554.17
  4. Step 4: Simplify right side
    947.23x = 724,394.40
  5. Step 5: Solve for x
    x = 724,394.40/947.23
  6. Step 6: Final answer
    x = 764.75

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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.