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Finding the Fourth Proportional to 1,134.88, 1,701.72 and 586.84

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Solution

The fourth proportional to 1,134.88, 1,701.72 and 586.84 is: 879.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.88 : 1,701.72 = 586.84 : x
  2. Step 2: Convert to fraction form
    1,134.88/1,701.72 = 586.84/x
  3. Step 3: Cross multiply
    1,134.88x = 1,701.72 × 586.84
  4. Step 4: Simplify right side
    1,134.88x = 998,637.36
  5. Step 5: Solve for x
    x = 998,637.36/1,134.88
  6. Step 6: Final answer
    x = 879.95

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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.