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Finding the Fourth Proportional to 1,435.43, 1,980.24 and 875.45

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Solution

The fourth proportional to 1,435.43, 1,980.24 and 875.45 is: 1,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.43 : 1,980.24 = 875.45 : x
  2. Step 2: Convert to fraction form
    1,435.43/1,980.24 = 875.45/x
  3. Step 3: Cross multiply
    1,435.43x = 1,980.24 × 875.45
  4. Step 4: Simplify right side
    1,435.43x = 1,733,601.11
  5. Step 5: Solve for x
    x = 1,733,601.11/1,435.43
  6. Step 6: Final answer
    x = 1,207.72

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