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Finding the Fourth Proportional to 1,085.32, 1,628.22 and 436.60

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Solution

The fourth proportional to 1,085.32, 1,628.22 and 436.60 is: 655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.32 : 1,628.22 = 436.60 : x
  2. Step 2: Convert to fraction form
    1,085.32/1,628.22 = 436.60/x
  3. Step 3: Cross multiply
    1,085.32x = 1,628.22 × 436.60
  4. Step 4: Simplify right side
    1,085.32x = 710,880.85
  5. Step 5: Solve for x
    x = 710,880.85/1,085.32
  6. Step 6: Final answer
    x = 655.00

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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.