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Finding the Fourth Proportional to 678.00, 1,015.25 and 581.12

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Solution

The fourth proportional to 678.00, 1,015.25 and 581.12 is: 870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.00 : 1,015.25 = 581.12 : x
  2. Step 2: Convert to fraction form
    678.00/1,015.25 = 581.12/x
  3. Step 3: Cross multiply
    678.00x = 1,015.25 × 581.12
  4. Step 4: Simplify right side
    678.00x = 589,977.91
  5. Step 5: Solve for x
    x = 589,977.91/678.00
  6. Step 6: Final answer
    x = 870.17

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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.