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Finding the Fourth Proportional to 1,153.80, 1,730.64 and 413.40

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Solution

The fourth proportional to 1,153.80, 1,730.64 and 413.40 is: 620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.80 : 1,730.64 = 413.40 : x
  2. Step 2: Convert to fraction form
    1,153.80/1,730.64 = 413.40/x
  3. Step 3: Cross multiply
    1,153.80x = 1,730.64 × 413.40
  4. Step 4: Simplify right side
    1,153.80x = 715,446.58
  5. Step 5: Solve for x
    x = 715,446.58/1,153.80
  6. Step 6: Final answer
    x = 620.08

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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.