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Finding the Fourth Proportional to 1,061.22, 1,464.48 and 589.11

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Solution

The fourth proportional to 1,061.22, 1,464.48 and 589.11 is: 812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.22 : 1,464.48 = 589.11 : x
  2. Step 2: Convert to fraction form
    1,061.22/1,464.48 = 589.11/x
  3. Step 3: Cross multiply
    1,061.22x = 1,464.48 × 589.11
  4. Step 4: Simplify right side
    1,061.22x = 862,739.81
  5. Step 5: Solve for x
    x = 862,739.81/1,061.22
  6. Step 6: Final answer
    x = 812.97

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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.