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Finding the Fourth Proportional to 964.54, 1,330.73 and 586.54

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Solution

The fourth proportional to 964.54, 1,330.73 and 586.54 is: 809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.54 : 1,330.73 = 586.54 : x
  2. Step 2: Convert to fraction form
    964.54/1,330.73 = 586.54/x
  3. Step 3: Cross multiply
    964.54x = 1,330.73 × 586.54
  4. Step 4: Simplify right side
    964.54x = 780,526.37
  5. Step 5: Solve for x
    x = 780,526.37/964.54
  6. Step 6: Final answer
    x = 809.22

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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.