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Finding the Fourth Proportional to 1,234.86, 1,852.29 and 465.18

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Solution

The fourth proportional to 1,234.86, 1,852.29 and 465.18 is: 697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.86 : 1,852.29 = 465.18 : x
  2. Step 2: Convert to fraction form
    1,234.86/1,852.29 = 465.18/x
  3. Step 3: Cross multiply
    1,234.86x = 1,852.29 × 465.18
  4. Step 4: Simplify right side
    1,234.86x = 861,648.26
  5. Step 5: Solve for x
    x = 861,648.26/1,234.86
  6. Step 6: Final answer
    x = 697.77

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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.