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Finding the Fourth Proportional to 1,576.53, 2,362.04 and 958.93

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Solution

The fourth proportional to 1,576.53, 2,362.04 and 958.93 is: 1,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.53 : 2,362.04 = 958.93 : x
  2. Step 2: Convert to fraction form
    1,576.53/2,362.04 = 958.93/x
  3. Step 3: Cross multiply
    1,576.53x = 2,362.04 × 958.93
  4. Step 4: Simplify right side
    1,576.53x = 2,265,014.41
  5. Step 5: Solve for x
    x = 2,265,014.41/1,576.53
  6. Step 6: Final answer
    x = 1,436.71

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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.