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Finding the Fourth Proportional to 1,220.04, 1,830.42 and 642.78

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Solution

The fourth proportional to 1,220.04, 1,830.42 and 642.78 is: 964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.04 : 1,830.42 = 642.78 : x
  2. Step 2: Convert to fraction form
    1,220.04/1,830.42 = 642.78/x
  3. Step 3: Cross multiply
    1,220.04x = 1,830.42 × 642.78
  4. Step 4: Simplify right side
    1,220.04x = 1,176,557.37
  5. Step 5: Solve for x
    x = 1,176,557.37/1,220.04
  6. Step 6: Final answer
    x = 964.36

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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.