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Finding the Fourth Proportional to 1,714.88, 2,572 and 560.48

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Solution

The fourth proportional to 1,714.88, 2,572 and 560.48 is: 840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.88 : 2,572 = 560.48 : x
  2. Step 2: Convert to fraction form
    1,714.88/2,572 = 560.48/x
  3. Step 3: Cross multiply
    1,714.88x = 2,572 × 560.48
  4. Step 4: Simplify right side
    1,714.88x = 1,441,554.56
  5. Step 5: Solve for x
    x = 1,441,554.56/1,714.88
  6. Step 6: Final answer
    x = 840.62

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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.