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Finding the Fourth Proportional to 1,234.65, 1,852.91 and 585.84

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Solution

The fourth proportional to 1,234.65, 1,852.91 and 585.84 is: 879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.65 : 1,852.91 = 585.84 : x
  2. Step 2: Convert to fraction form
    1,234.65/1,852.91 = 585.84/x
  3. Step 3: Cross multiply
    1,234.65x = 1,852.91 × 585.84
  4. Step 4: Simplify right side
    1,234.65x = 1,085,496.60
  5. Step 5: Solve for x
    x = 1,085,496.60/1,234.65
  6. Step 6: Final answer
    x = 879.20

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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.