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Finding the Fourth Proportional to 1,051.11, 1,576.94 and 589.23

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Solution

The fourth proportional to 1,051.11, 1,576.94 and 589.23 is: 884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.11 : 1,576.94 = 589.23 : x
  2. Step 2: Convert to fraction form
    1,051.11/1,576.94 = 589.23/x
  3. Step 3: Cross multiply
    1,051.11x = 1,576.94 × 589.23
  4. Step 4: Simplify right side
    1,051.11x = 929,177.41
  5. Step 5: Solve for x
    x = 929,177.41/1,051.11
  6. Step 6: Final answer
    x = 884.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.