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Finding the Fourth Proportional to 1,022.57, 1,533.88 and 678.11

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Solution

The fourth proportional to 1,022.57, 1,533.88 and 678.11 is: 1,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.57 : 1,533.88 = 678.11 : x
  2. Step 2: Convert to fraction form
    1,022.57/1,533.88 = 678.11/x
  3. Step 3: Cross multiply
    1,022.57x = 1,533.88 × 678.11
  4. Step 4: Simplify right side
    1,022.57x = 1,040,130.00
  5. Step 5: Solve for x
    x = 1,040,130.00/1,022.57
  6. Step 6: Final answer
    x = 1,017.18

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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.