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Finding the Fourth Proportional to 940.14, 1,409.76 and 478.13

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Solution

The fourth proportional to 940.14, 1,409.76 and 478.13 is: 716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.14 : 1,409.76 = 478.13 : x
  2. Step 2: Convert to fraction form
    940.14/1,409.76 = 478.13/x
  3. Step 3: Cross multiply
    940.14x = 1,409.76 × 478.13
  4. Step 4: Simplify right side
    940.14x = 674,041.50
  5. Step 5: Solve for x
    x = 674,041.50/940.14
  6. Step 6: Final answer
    x = 716.96

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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.