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Finding the Fourth Proportional to 1,410.34, 1,947 and 879.39

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Solution

The fourth proportional to 1,410.34, 1,947 and 879.39 is: 1,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.34 : 1,947 = 879.39 : x
  2. Step 2: Convert to fraction form
    1,410.34/1,947 = 879.39/x
  3. Step 3: Cross multiply
    1,410.34x = 1,947 × 879.39
  4. Step 4: Simplify right side
    1,410.34x = 1,712,172.33
  5. Step 5: Solve for x
    x = 1,712,172.33/1,410.34
  6. Step 6: Final answer
    x = 1,214.01

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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.