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Finding the Fourth Proportional to 1,570.30, 2,353.41 and 644.78

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Solution

The fourth proportional to 1,570.30, 2,353.41 and 644.78 is: 966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.30 : 2,353.41 = 644.78 : x
  2. Step 2: Convert to fraction form
    1,570.30/2,353.41 = 644.78/x
  3. Step 3: Cross multiply
    1,570.30x = 2,353.41 × 644.78
  4. Step 4: Simplify right side
    1,570.30x = 1,517,437.58
  5. Step 5: Solve for x
    x = 1,517,437.58/1,570.30
  6. Step 6: Final answer
    x = 966.34

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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.