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Finding the Fourth Proportional to 673.15, 1,007.13 and 413.10

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Solution

The fourth proportional to 673.15, 1,007.13 and 413.10 is: 618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.15 : 1,007.13 = 413.10 : x
  2. Step 2: Convert to fraction form
    673.15/1,007.13 = 413.10/x
  3. Step 3: Cross multiply
    673.15x = 1,007.13 × 413.10
  4. Step 4: Simplify right side
    673.15x = 416,045.40
  5. Step 5: Solve for x
    x = 416,045.40/673.15
  6. Step 6: Final answer
    x = 618.06

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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.