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Finding the Fourth Proportional to 1,407.73, 2,111.59 and 586.59

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Solution

The fourth proportional to 1,407.73, 2,111.59 and 586.59 is: 879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.73 : 2,111.59 = 586.59 : x
  2. Step 2: Convert to fraction form
    1,407.73/2,111.59 = 586.59/x
  3. Step 3: Cross multiply
    1,407.73x = 2,111.59 × 586.59
  4. Step 4: Simplify right side
    1,407.73x = 1,238,637.58
  5. Step 5: Solve for x
    x = 1,238,637.58/1,407.73
  6. Step 6: Final answer
    x = 879.88

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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.