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Finding the Fourth Proportional to 1,413.52, 2,119.64 and 547.60

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Solution

The fourth proportional to 1,413.52, 2,119.64 and 547.60 is: 821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.52 : 2,119.64 = 547.60 : x
  2. Step 2: Convert to fraction form
    1,413.52/2,119.64 = 547.60/x
  3. Step 3: Cross multiply
    1,413.52x = 2,119.64 × 547.60
  4. Step 4: Simplify right side
    1,413.52x = 1,160,714.86
  5. Step 5: Solve for x
    x = 1,160,714.86/1,413.52
  6. Step 6: Final answer
    x = 821.15

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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.