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Finding the Fourth Proportional to 1,234.50, 1,852.66 and 585.24

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Solution

The fourth proportional to 1,234.50, 1,852.66 and 585.24 is: 878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.50 : 1,852.66 = 585.24 : x
  2. Step 2: Convert to fraction form
    1,234.50/1,852.66 = 585.24/x
  3. Step 3: Cross multiply
    1,234.50x = 1,852.66 × 585.24
  4. Step 4: Simplify right side
    1,234.50x = 1,084,241.48
  5. Step 5: Solve for x
    x = 1,084,241.48/1,234.50
  6. Step 6: Final answer
    x = 878.28

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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.