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Finding the Fourth Proportional to 1,413.05, 1,949.80 and 807.35

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Solution

The fourth proportional to 1,413.05, 1,949.80 and 807.35 is: 1,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.05 : 1,949.80 = 807.35 : x
  2. Step 2: Convert to fraction form
    1,413.05/1,949.80 = 807.35/x
  3. Step 3: Cross multiply
    1,413.05x = 1,949.80 × 807.35
  4. Step 4: Simplify right side
    1,413.05x = 1,574,169.60
  5. Step 5: Solve for x
    x = 1,574,169.60/1,413.05
  6. Step 6: Final answer
    x = 1,114.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.