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Finding the Fourth Proportional to 890.18, 1,228.58 and 642.32

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Solution

The fourth proportional to 890.18, 1,228.58 and 642.32 is: 886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.18 : 1,228.58 = 642.32 : x
  2. Step 2: Convert to fraction form
    890.18/1,228.58 = 642.32/x
  3. Step 3: Cross multiply
    890.18x = 1,228.58 × 642.32
  4. Step 4: Simplify right side
    890.18x = 789,141.51
  5. Step 5: Solve for x
    x = 789,141.51/890.18
  6. Step 6: Final answer
    x = 886.50

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Why These Related Problems?

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