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Finding the Fourth Proportional to 907.34, 1,360.19 and 413.24

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Solution

The fourth proportional to 907.34, 1,360.19 and 413.24 is: 619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.34 : 1,360.19 = 413.24 : x
  2. Step 2: Convert to fraction form
    907.34/1,360.19 = 413.24/x
  3. Step 3: Cross multiply
    907.34x = 1,360.19 × 413.24
  4. Step 4: Simplify right side
    907.34x = 562,079.15
  5. Step 5: Solve for x
    x = 562,079.15/907.34
  6. Step 6: Final answer
    x = 619.48

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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.