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Finding the Fourth Proportional to 1,109.71, 1,663.40 and 415.93

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Solution

The fourth proportional to 1,109.71, 1,663.40 and 415.93 is: 623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.71 : 1,663.40 = 415.93 : x
  2. Step 2: Convert to fraction form
    1,109.71/1,663.40 = 415.93/x
  3. Step 3: Cross multiply
    1,109.71x = 1,663.40 × 415.93
  4. Step 4: Simplify right side
    1,109.71x = 691,847.57
  5. Step 5: Solve for x
    x = 691,847.57/1,109.71
  6. Step 6: Final answer
    x = 623.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.