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Finding the Fourth Proportional to 940.96, 1,411.40 and 508.96

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Solution

The fourth proportional to 940.96, 1,411.40 and 508.96 is: 763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.96 : 1,411.40 = 508.96 : x
  2. Step 2: Convert to fraction form
    940.96/1,411.40 = 508.96/x
  3. Step 3: Cross multiply
    940.96x = 1,411.40 × 508.96
  4. Step 4: Simplify right side
    940.96x = 718,346.14
  5. Step 5: Solve for x
    x = 718,346.14/940.96
  6. Step 6: Final answer
    x = 763.42

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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.