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Finding the Fourth Proportional to 1,409.05, 2,112.09 and 586.50

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Solution

The fourth proportional to 1,409.05, 2,112.09 and 586.50 is: 879.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.05 : 2,112.09 = 586.50 : x
  2. Step 2: Convert to fraction form
    1,409.05/2,112.09 = 586.50/x
  3. Step 3: Cross multiply
    1,409.05x = 2,112.09 × 586.50
  4. Step 4: Simplify right side
    1,409.05x = 1,238,740.79
  5. Step 5: Solve for x
    x = 1,238,740.79/1,409.05
  6. Step 6: Final answer
    x = 879.13

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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.