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Finding the Fourth Proportional to 1,139.42, 1,708.35 and 582.77

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Solution

The fourth proportional to 1,139.42, 1,708.35 and 582.77 is: 873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.42 : 1,708.35 = 582.77 : x
  2. Step 2: Convert to fraction form
    1,139.42/1,708.35 = 582.77/x
  3. Step 3: Cross multiply
    1,139.42x = 1,708.35 × 582.77
  4. Step 4: Simplify right side
    1,139.42x = 995,579.40
  5. Step 5: Solve for x
    x = 995,579.40/1,139.42
  6. Step 6: Final answer
    x = 873.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.