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Finding the Fourth Proportional to 890.68, 1,335.93 and 342.94

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Solution

The fourth proportional to 890.68, 1,335.93 and 342.94 is: 514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.68 : 1,335.93 = 342.94 : x
  2. Step 2: Convert to fraction form
    890.68/1,335.93 = 342.94/x
  3. Step 3: Cross multiply
    890.68x = 1,335.93 × 342.94
  4. Step 4: Simplify right side
    890.68x = 458,143.83
  5. Step 5: Solve for x
    x = 458,143.83/890.68
  6. Step 6: Final answer
    x = 514.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.