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Finding the Fourth Proportional to 1,714.32, 2,571.47 and 415.78

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Solution

The fourth proportional to 1,714.32, 2,571.47 and 415.78 is: 623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.32 : 2,571.47 = 415.78 : x
  2. Step 2: Convert to fraction form
    1,714.32/2,571.47 = 415.78/x
  3. Step 3: Cross multiply
    1,714.32x = 2,571.47 × 415.78
  4. Step 4: Simplify right side
    1,714.32x = 1,069,165.80
  5. Step 5: Solve for x
    x = 1,069,165.80/1,714.32
  6. Step 6: Final answer
    x = 623.67

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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.