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Finding the Fourth Proportional to 1,419.26, 2,129.02 and 586.58

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Solution

The fourth proportional to 1,419.26, 2,129.02 and 586.58 is: 879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.26 : 2,129.02 = 586.58 : x
  2. Step 2: Convert to fraction form
    1,419.26/2,129.02 = 586.58/x
  3. Step 3: Cross multiply
    1,419.26x = 2,129.02 × 586.58
  4. Step 4: Simplify right side
    1,419.26x = 1,248,840.55
  5. Step 5: Solve for x
    x = 1,248,840.55/1,419.26
  6. Step 6: Final answer
    x = 879.92

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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.