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Finding the Fourth Proportional to 1,409.26, 2,114.16 and 435.32

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Solution

The fourth proportional to 1,409.26, 2,114.16 and 435.32 is: 653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.26 : 2,114.16 = 435.32 : x
  2. Step 2: Convert to fraction form
    1,409.26/2,114.16 = 435.32/x
  3. Step 3: Cross multiply
    1,409.26x = 2,114.16 × 435.32
  4. Step 4: Simplify right side
    1,409.26x = 920,336.13
  5. Step 5: Solve for x
    x = 920,336.13/1,409.26
  6. Step 6: Final answer
    x = 653.07

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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.