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Finding the Fourth Proportional to 1,410.75, 2,114.71 and 589.48

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Solution

The fourth proportional to 1,410.75, 2,114.71 and 589.48 is: 883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.75 : 2,114.71 = 589.48 : x
  2. Step 2: Convert to fraction form
    1,410.75/2,114.71 = 589.48/x
  3. Step 3: Cross multiply
    1,410.75x = 2,114.71 × 589.48
  4. Step 4: Simplify right side
    1,410.75x = 1,246,572.49
  5. Step 5: Solve for x
    x = 1,246,572.49/1,410.75
  6. Step 6: Final answer
    x = 883.62

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Why These Related Problems?

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