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Finding the Fourth Proportional to 1,435.40, 2,153.02 and 461.42

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Solution

The fourth proportional to 1,435.40, 2,153.02 and 461.42 is: 692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.40 : 2,153.02 = 461.42 : x
  2. Step 2: Convert to fraction form
    1,435.40/2,153.02 = 461.42/x
  3. Step 3: Cross multiply
    1,435.40x = 2,153.02 × 461.42
  4. Step 4: Simplify right side
    1,435.40x = 993,446.49
  5. Step 5: Solve for x
    x = 993,446.49/1,435.40
  6. Step 6: Final answer
    x = 692.10

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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.