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Finding the Fourth Proportional to 1,576.78, 2,366.24 and 652.36

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Solution

The fourth proportional to 1,576.78, 2,366.24 and 652.36 is: 978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.78 : 2,366.24 = 652.36 : x
  2. Step 2: Convert to fraction form
    1,576.78/2,366.24 = 652.36/x
  3. Step 3: Cross multiply
    1,576.78x = 2,366.24 × 652.36
  4. Step 4: Simplify right side
    1,576.78x = 1,543,640.33
  5. Step 5: Solve for x
    x = 1,543,640.33/1,576.78
  6. Step 6: Final answer
    x = 978.98

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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.