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Finding the Fourth Proportional to 1,220.48, 1,828.42 and 603.47

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Solution

The fourth proportional to 1,220.48, 1,828.42 and 603.47 is: 904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.48 : 1,828.42 = 603.47 : x
  2. Step 2: Convert to fraction form
    1,220.48/1,828.42 = 603.47/x
  3. Step 3: Cross multiply
    1,220.48x = 1,828.42 × 603.47
  4. Step 4: Simplify right side
    1,220.48x = 1,103,396.62
  5. Step 5: Solve for x
    x = 1,103,396.62/1,220.48
  6. Step 6: Final answer
    x = 904.07

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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.