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Finding the Fourth Proportional to 1,413.12, 2,118.48 and 590.88

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Solution

The fourth proportional to 1,413.12, 2,118.48 and 590.88 is: 885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.12 : 2,118.48 = 590.88 : x
  2. Step 2: Convert to fraction form
    1,413.12/2,118.48 = 590.88/x
  3. Step 3: Cross multiply
    1,413.12x = 2,118.48 × 590.88
  4. Step 4: Simplify right side
    1,413.12x = 1,251,767.46
  5. Step 5: Solve for x
    x = 1,251,767.46/1,413.12
  6. Step 6: Final answer
    x = 885.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.