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Finding the Fourth Proportional to 1,090.80, 1,636.74 and 442.08

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Solution

The fourth proportional to 1,090.80, 1,636.74 and 442.08 is: 663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.80 : 1,636.74 = 442.08 : x
  2. Step 2: Convert to fraction form
    1,090.80/1,636.74 = 442.08/x
  3. Step 3: Cross multiply
    1,090.80x = 1,636.74 × 442.08
  4. Step 4: Simplify right side
    1,090.80x = 723,570.02
  5. Step 5: Solve for x
    x = 723,570.02/1,090.80
  6. Step 6: Final answer
    x = 663.34

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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.