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Finding the Fourth Proportional to 1,409.83, 2,114.73 and 435.94

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Solution

The fourth proportional to 1,409.83, 2,114.73 and 435.94 is: 653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.83 : 2,114.73 = 435.94 : x
  2. Step 2: Convert to fraction form
    1,409.83/2,114.73 = 435.94/x
  3. Step 3: Cross multiply
    1,409.83x = 2,114.73 × 435.94
  4. Step 4: Simplify right side
    1,409.83x = 921,895.40
  5. Step 5: Solve for x
    x = 921,895.40/1,409.83
  6. Step 6: Final answer
    x = 653.91

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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.