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Finding the Fourth Proportional to 1,465.43, 2,020.95 and 875.61

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Solution

The fourth proportional to 1,465.43, 2,020.95 and 875.61 is: 1,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.43 : 2,020.95 = 875.61 : x
  2. Step 2: Convert to fraction form
    1,465.43/2,020.95 = 875.61/x
  3. Step 3: Cross multiply
    1,465.43x = 2,020.95 × 875.61
  4. Step 4: Simplify right side
    1,465.43x = 1,769,564.03
  5. Step 5: Solve for x
    x = 1,769,564.03/1,465.43
  6. Step 6: Final answer
    x = 1,207.54

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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.