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Finding the Fourth Proportional to 1,291.99, 1,938.23 and 598.20

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Solution

The fourth proportional to 1,291.99, 1,938.23 and 598.20 is: 897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.99 : 1,938.23 = 598.20 : x
  2. Step 2: Convert to fraction form
    1,291.99/1,938.23 = 598.20/x
  3. Step 3: Cross multiply
    1,291.99x = 1,938.23 × 598.20
  4. Step 4: Simplify right side
    1,291.99x = 1,159,446.20
  5. Step 5: Solve for x
    x = 1,159,446.20/1,291.99
  6. Step 6: Final answer
    x = 897.41

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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.