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Finding the Fourth Proportional to 890.90, 1,229.55 and 536.84

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Solution

The fourth proportional to 890.90, 1,229.55 and 536.84 is: 740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.90 : 1,229.55 = 536.84 : x
  2. Step 2: Convert to fraction form
    890.90/1,229.55 = 536.84/x
  3. Step 3: Cross multiply
    890.90x = 1,229.55 × 536.84
  4. Step 4: Simplify right side
    890.90x = 660,071.62
  5. Step 5: Solve for x
    x = 660,071.62/890.90
  6. Step 6: Final answer
    x = 740.90

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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.