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Finding the Fourth Proportional to 1,410.82, 2,116.46 and 578.07

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Solution

The fourth proportional to 1,410.82, 2,116.46 and 578.07 is: 867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.82 : 2,116.46 = 578.07 : x
  2. Step 2: Convert to fraction form
    1,410.82/2,116.46 = 578.07/x
  3. Step 3: Cross multiply
    1,410.82x = 2,116.46 × 578.07
  4. Step 4: Simplify right side
    1,410.82x = 1,223,463.48
  5. Step 5: Solve for x
    x = 1,223,463.48/1,410.82
  6. Step 6: Final answer
    x = 867.20

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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.