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Finding the Fourth Proportional to 890.46, 1,228.77 and 536.32

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Solution

The fourth proportional to 890.46, 1,228.77 and 536.32 is: 740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.46 : 1,228.77 = 536.32 : x
  2. Step 2: Convert to fraction form
    890.46/1,228.77 = 536.32/x
  3. Step 3: Cross multiply
    890.46x = 1,228.77 × 536.32
  4. Step 4: Simplify right side
    890.46x = 659,015.46
  5. Step 5: Solve for x
    x = 659,015.46/890.46
  6. Step 6: Final answer
    x = 740.08

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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.