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Finding the Fourth Proportional to 1,052.66, 1,576.97 and 589.04

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Solution

The fourth proportional to 1,052.66, 1,576.97 and 589.04 is: 882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.66 : 1,576.97 = 589.04 : x
  2. Step 2: Convert to fraction form
    1,052.66/1,576.97 = 589.04/x
  3. Step 3: Cross multiply
    1,052.66x = 1,576.97 × 589.04
  4. Step 4: Simplify right side
    1,052.66x = 928,892.00
  5. Step 5: Solve for x
    x = 928,892.00/1,052.66
  6. Step 6: Final answer
    x = 882.42

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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.