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Finding the Fourth Proportional to 1,576.52, 2,363.09 and 753.05

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Solution

The fourth proportional to 1,576.52, 2,363.09 and 753.05 is: 1,128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.52 : 2,363.09 = 753.05 : x
  2. Step 2: Convert to fraction form
    1,576.52/2,363.09 = 753.05/x
  3. Step 3: Cross multiply
    1,576.52x = 2,363.09 × 753.05
  4. Step 4: Simplify right side
    1,576.52x = 1,779,514.99
  5. Step 5: Solve for x
    x = 1,779,514.99/1,576.52
  6. Step 6: Final answer
    x = 1,128.77

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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.