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Finding the Fourth Proportional to 1,052.44, 1,576.78 and 589.68

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Solution

The fourth proportional to 1,052.44, 1,576.78 and 589.68 is: 883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.44 : 1,576.78 = 589.68 : x
  2. Step 2: Convert to fraction form
    1,052.44/1,576.78 = 589.68/x
  3. Step 3: Cross multiply
    1,052.44x = 1,576.78 × 589.68
  4. Step 4: Simplify right side
    1,052.44x = 929,795.63
  5. Step 5: Solve for x
    x = 929,795.63/1,052.44
  6. Step 6: Final answer
    x = 883.47

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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.