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Finding the Fourth Proportional to 1,407.44, 2,112.06 and 586.30

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Solution

The fourth proportional to 1,407.44, 2,112.06 and 586.30 is: 879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.44 : 2,112.06 = 586.30 : x
  2. Step 2: Convert to fraction form
    1,407.44/2,112.06 = 586.30/x
  3. Step 3: Cross multiply
    1,407.44x = 2,112.06 × 586.30
  4. Step 4: Simplify right side
    1,407.44x = 1,238,300.78
  5. Step 5: Solve for x
    x = 1,238,300.78/1,407.44
  6. Step 6: Final answer
    x = 879.82

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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.