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Finding the Fourth Proportional to 1,228.04, 1,840.38 and 816.08

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Solution

The fourth proportional to 1,228.04, 1,840.38 and 816.08 is: 1,223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.04 : 1,840.38 = 816.08 : x
  2. Step 2: Convert to fraction form
    1,228.04/1,840.38 = 816.08/x
  3. Step 3: Cross multiply
    1,228.04x = 1,840.38 × 816.08
  4. Step 4: Simplify right side
    1,228.04x = 1,501,897.31
  5. Step 5: Solve for x
    x = 1,501,897.31/1,228.04
  6. Step 6: Final answer
    x = 1,223.00

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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.