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Finding the Fourth Proportional to 1,435.60, 1,980.84 and 992.80

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Solution

The fourth proportional to 1,435.60, 1,980.84 and 992.80 is: 1,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.60 : 1,980.84 = 992.80 : x
  2. Step 2: Convert to fraction form
    1,435.60/1,980.84 = 992.80/x
  3. Step 3: Cross multiply
    1,435.60x = 1,980.84 × 992.80
  4. Step 4: Simplify right side
    1,435.60x = 1,966,577.95
  5. Step 5: Solve for x
    x = 1,966,577.95/1,435.60
  6. Step 6: Final answer
    x = 1,369.86

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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.