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Finding the Fourth Proportional to 1,435.96, 2,152.56 and 461.38

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Solution

The fourth proportional to 1,435.96, 2,152.56 and 461.38 is: 691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.96 : 2,152.56 = 461.38 : x
  2. Step 2: Convert to fraction form
    1,435.96/2,152.56 = 461.38/x
  3. Step 3: Cross multiply
    1,435.96x = 2,152.56 × 461.38
  4. Step 4: Simplify right side
    1,435.96x = 993,148.13
  5. Step 5: Solve for x
    x = 993,148.13/1,435.96
  6. Step 6: Final answer
    x = 691.63

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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.