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Finding the Fourth Proportional to 1,410.94, 2,116.55 and 589.47

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Solution

The fourth proportional to 1,410.94, 2,116.55 and 589.47 is: 884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.94 : 2,116.55 = 589.47 : x
  2. Step 2: Convert to fraction form
    1,410.94/2,116.55 = 589.47/x
  3. Step 3: Cross multiply
    1,410.94x = 2,116.55 × 589.47
  4. Step 4: Simplify right side
    1,410.94x = 1,247,642.73
  5. Step 5: Solve for x
    x = 1,247,642.73/1,410.94
  6. Step 6: Final answer
    x = 884.26

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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.