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Finding the Fourth Proportional to 1,109.61, 1,664.31 and 415.97

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Solution

The fourth proportional to 1,109.61, 1,664.31 and 415.97 is: 623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.61 : 1,664.31 = 415.97 : x
  2. Step 2: Convert to fraction form
    1,109.61/1,664.31 = 415.97/x
  3. Step 3: Cross multiply
    1,109.61x = 1,664.31 × 415.97
  4. Step 4: Simplify right side
    1,109.61x = 692,303.03
  5. Step 5: Solve for x
    x = 692,303.03/1,109.61
  6. Step 6: Final answer
    x = 623.92

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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.