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Finding the Fourth Proportional to 1,122.83, 1,683.98 and 353.33

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Solution

The fourth proportional to 1,122.83, 1,683.98 and 353.33 is: 529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.83 : 1,683.98 = 353.33 : x
  2. Step 2: Convert to fraction form
    1,122.83/1,683.98 = 353.33/x
  3. Step 3: Cross multiply
    1,122.83x = 1,683.98 × 353.33
  4. Step 4: Simplify right side
    1,122.83x = 595,000.65
  5. Step 5: Solve for x
    x = 595,000.65/1,122.83
  6. Step 6: Final answer
    x = 529.91

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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.