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Finding the Fourth Proportional to 947.29, 1,307.07 and 554.24

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Solution

The fourth proportional to 947.29, 1,307.07 and 554.24 is: 764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.29 : 1,307.07 = 554.24 : x
  2. Step 2: Convert to fraction form
    947.29/1,307.07 = 554.24/x
  3. Step 3: Cross multiply
    947.29x = 1,307.07 × 554.24
  4. Step 4: Simplify right side
    947.29x = 724,430.48
  5. Step 5: Solve for x
    x = 724,430.48/947.29
  6. Step 6: Final answer
    x = 764.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.