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Finding the Fourth Proportional to 1,007.52, 1,512 and 678.84

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Solution

The fourth proportional to 1,007.52, 1,512 and 678.84 is: 1,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.52 : 1,512 = 678.84 : x
  2. Step 2: Convert to fraction form
    1,007.52/1,512 = 678.84/x
  3. Step 3: Cross multiply
    1,007.52x = 1,512 × 678.84
  4. Step 4: Simplify right side
    1,007.52x = 1,026,406.08
  5. Step 5: Solve for x
    x = 1,026,406.08/1,007.52
  6. Step 6: Final answer
    x = 1,018.75

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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.