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Finding the Fourth Proportional to 1,364.18, 2,046.20 and 594.68

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Solution

The fourth proportional to 1,364.18, 2,046.20 and 594.68 is: 891.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.18 : 2,046.20 = 594.68 : x
  2. Step 2: Convert to fraction form
    1,364.18/2,046.20 = 594.68/x
  3. Step 3: Cross multiply
    1,364.18x = 2,046.20 × 594.68
  4. Step 4: Simplify right side
    1,364.18x = 1,216,834.22
  5. Step 5: Solve for x
    x = 1,216,834.22/1,364.18
  6. Step 6: Final answer
    x = 891.99

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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.