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Finding the Fourth Proportional to 1,360.63, 2,041.31 and 436.15

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Solution

The fourth proportional to 1,360.63, 2,041.31 and 436.15 is: 654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.63 : 2,041.31 = 436.15 : x
  2. Step 2: Convert to fraction form
    1,360.63/2,041.31 = 436.15/x
  3. Step 3: Cross multiply
    1,360.63x = 2,041.31 × 436.15
  4. Step 4: Simplify right side
    1,360.63x = 890,317.36
  5. Step 5: Solve for x
    x = 890,317.36/1,360.63
  6. Step 6: Final answer
    x = 654.34

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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.