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Finding the Fourth Proportional to 1,409.22, 2,113.92 and 435.42

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Solution

The fourth proportional to 1,409.22, 2,113.92 and 435.42 is: 653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.22 : 2,113.92 = 435.42 : x
  2. Step 2: Convert to fraction form
    1,409.22/2,113.92 = 435.42/x
  3. Step 3: Cross multiply
    1,409.22x = 2,113.92 × 435.42
  4. Step 4: Simplify right side
    1,409.22x = 920,443.05
  5. Step 5: Solve for x
    x = 920,443.05/1,409.22
  6. Step 6: Final answer
    x = 653.16

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Why These Related Problems?

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