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Finding the Fourth Proportional to 1,435.57, 2,153.55 and 461.44

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Solution

The fourth proportional to 1,435.57, 2,153.55 and 461.44 is: 692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.57 : 2,153.55 = 461.44 : x
  2. Step 2: Convert to fraction form
    1,435.57/2,153.55 = 461.44/x
  3. Step 3: Cross multiply
    1,435.57x = 2,153.55 × 461.44
  4. Step 4: Simplify right side
    1,435.57x = 993,738.53
  5. Step 5: Solve for x
    x = 993,738.53/1,435.57
  6. Step 6: Final answer
    x = 692.23

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1.5x scale

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.