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Finding the Fourth Proportional to 673.71, 1,009.32 and 413.00

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Solution

The fourth proportional to 673.71, 1,009.32 and 413.00 is: 618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.71 : 1,009.32 = 413.00 : x
  2. Step 2: Convert to fraction form
    673.71/1,009.32 = 413.00/x
  3. Step 3: Cross multiply
    673.71x = 1,009.32 × 413.00
  4. Step 4: Simplify right side
    673.71x = 416,844.11
  5. Step 5: Solve for x
    x = 416,844.11/673.71
  6. Step 6: Final answer
    x = 618.73

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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.