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Finding the Fourth Proportional to 890.76, 1,228.96 and 559.50

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Solution

The fourth proportional to 890.76, 1,228.96 and 559.50 is: 771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.76 : 1,228.96 = 559.50 : x
  2. Step 2: Convert to fraction form
    890.76/1,228.96 = 559.50/x
  3. Step 3: Cross multiply
    890.76x = 1,228.96 × 559.50
  4. Step 4: Simplify right side
    890.76x = 687,603.12
  5. Step 5: Solve for x
    x = 687,603.12/890.76
  6. Step 6: Final answer
    x = 771.93

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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.