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Finding the Fourth Proportional to 1,407.83, 2,112.21 and 586.49

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Solution

The fourth proportional to 1,407.83, 2,112.21 and 586.49 is: 879.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.83 : 2,112.21 = 586.49 : x
  2. Step 2: Convert to fraction form
    1,407.83/2,112.21 = 586.49/x
  3. Step 3: Cross multiply
    1,407.83x = 2,112.21 × 586.49
  4. Step 4: Simplify right side
    1,407.83x = 1,238,790.04
  5. Step 5: Solve for x
    x = 1,238,790.04/1,407.83
  6. Step 6: Final answer
    x = 879.93

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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.