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Finding the Fourth Proportional to 936.65, 1,405.23 and 409.60

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Solution

The fourth proportional to 936.65, 1,405.23 and 409.60 is: 614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.65 : 1,405.23 = 409.60 : x
  2. Step 2: Convert to fraction form
    936.65/1,405.23 = 409.60/x
  3. Step 3: Cross multiply
    936.65x = 1,405.23 × 409.60
  4. Step 4: Simplify right side
    936.65x = 575,580.16
  5. Step 5: Solve for x
    x = 575,580.16/936.65
  6. Step 6: Final answer
    x = 614.51

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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.