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Finding the Fourth Proportional to 1,234.50, 1,852.02 and 465

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Solution

The fourth proportional to 1,234.50, 1,852.02 and 465 is: 697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.50 : 1,852.02 = 465 : x
  2. Step 2: Convert to fraction form
    1,234.50/1,852.02 = 465/x
  3. Step 3: Cross multiply
    1,234.50x = 1,852.02 × 465
  4. Step 4: Simplify right side
    1,234.50x = 861,189.30
  5. Step 5: Solve for x
    x = 861,189.30/1,234.50
  6. Step 6: Final answer
    x = 697.60

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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.