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Finding the Fourth Proportional to 1,674.32, 2,511.50 and 578.70

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Solution

The fourth proportional to 1,674.32, 2,511.50 and 578.70 is: 868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.32 : 2,511.50 = 578.70 : x
  2. Step 2: Convert to fraction form
    1,674.32/2,511.50 = 578.70/x
  3. Step 3: Cross multiply
    1,674.32x = 2,511.50 × 578.70
  4. Step 4: Simplify right side
    1,674.32x = 1,453,405.05
  5. Step 5: Solve for x
    x = 1,453,405.05/1,674.32
  6. Step 6: Final answer
    x = 868.06

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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.