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Finding the Fourth Proportional to 1,435.64, 2,153.42 and 461.80

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Solution

The fourth proportional to 1,435.64, 2,153.42 and 461.80 is: 692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.64 : 2,153.42 = 461.80 : x
  2. Step 2: Convert to fraction form
    1,435.64/2,153.42 = 461.80/x
  3. Step 3: Cross multiply
    1,435.64x = 2,153.42 × 461.80
  4. Step 4: Simplify right side
    1,435.64x = 994,449.36
  5. Step 5: Solve for x
    x = 994,449.36/1,435.64
  6. Step 6: Final answer
    x = 692.69

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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.