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Finding the Fourth Proportional to 1,050.37, 1,576.23 and 725.16

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Solution

The fourth proportional to 1,050.37, 1,576.23 and 725.16 is: 1,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.37 : 1,576.23 = 725.16 : x
  2. Step 2: Convert to fraction form
    1,050.37/1,576.23 = 725.16/x
  3. Step 3: Cross multiply
    1,050.37x = 1,576.23 × 725.16
  4. Step 4: Simplify right side
    1,050.37x = 1,143,018.95
  5. Step 5: Solve for x
    x = 1,143,018.95/1,050.37
  6. Step 6: Final answer
    x = 1,088.21

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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.