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Finding the Fourth Proportional to 890.19, 1,228.35 and 536.13

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Solution

The fourth proportional to 890.19, 1,228.35 and 536.13 is: 739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.19 : 1,228.35 = 536.13 : x
  2. Step 2: Convert to fraction form
    890.19/1,228.35 = 536.13/x
  3. Step 3: Cross multiply
    890.19x = 1,228.35 × 536.13
  4. Step 4: Simplify right side
    890.19x = 658,555.29
  5. Step 5: Solve for x
    x = 658,555.29/890.19
  6. Step 6: Final answer
    x = 739.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.