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Finding the Fourth Proportional to 1,052.99, 1,576.15 and 589.37

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Solution

The fourth proportional to 1,052.99, 1,576.15 and 589.37 is: 882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.99 : 1,576.15 = 589.37 : x
  2. Step 2: Convert to fraction form
    1,052.99/1,576.15 = 589.37/x
  3. Step 3: Cross multiply
    1,052.99x = 1,576.15 × 589.37
  4. Step 4: Simplify right side
    1,052.99x = 928,924.70
  5. Step 5: Solve for x
    x = 928,924.70/1,052.99
  6. Step 6: Final answer
    x = 882.18

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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.