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Finding the Fourth Proportional to 947.64, 1,307.84 and 554.99

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Solution

The fourth proportional to 947.64, 1,307.84 and 554.99 is: 765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.64 : 1,307.84 = 554.99 : x
  2. Step 2: Convert to fraction form
    947.64/1,307.84 = 554.99/x
  3. Step 3: Cross multiply
    947.64x = 1,307.84 × 554.99
  4. Step 4: Simplify right side
    947.64x = 725,828.81
  5. Step 5: Solve for x
    x = 725,828.81/947.64
  6. Step 6: Final answer
    x = 765.94

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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.