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Finding the Fourth Proportional to 1,085.15, 1,628.02 and 436.34

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Solution

The fourth proportional to 1,085.15, 1,628.02 and 436.34 is: 654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.15 : 1,628.02 = 436.34 : x
  2. Step 2: Convert to fraction form
    1,085.15/1,628.02 = 436.34/x
  3. Step 3: Cross multiply
    1,085.15x = 1,628.02 × 436.34
  4. Step 4: Simplify right side
    1,085.15x = 710,370.25
  5. Step 5: Solve for x
    x = 710,370.25/1,085.15
  6. Step 6: Final answer
    x = 654.63

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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.