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Finding the Fourth Proportional to 1,435.10, 2,152.94 and 461.88

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Solution

The fourth proportional to 1,435.10, 2,152.94 and 461.88 is: 692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.10 : 2,152.94 = 461.88 : x
  2. Step 2: Convert to fraction form
    1,435.10/2,152.94 = 461.88/x
  3. Step 3: Cross multiply
    1,435.10x = 2,152.94 × 461.88
  4. Step 4: Simplify right side
    1,435.10x = 994,399.93
  5. Step 5: Solve for x
    x = 994,399.93/1,435.10
  6. Step 6: Final answer
    x = 692.91

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