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Finding the Fourth Proportional to 1,570.01, 2,354.20 and 645.39

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Solution

The fourth proportional to 1,570.01, 2,354.20 and 645.39 is: 967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.01 : 2,354.20 = 645.39 : x
  2. Step 2: Convert to fraction form
    1,570.01/2,354.20 = 645.39/x
  3. Step 3: Cross multiply
    1,570.01x = 2,354.20 × 645.39
  4. Step 4: Simplify right side
    1,570.01x = 1,519,375.52
  5. Step 5: Solve for x
    x = 1,519,375.52/1,570.01
  6. Step 6: Final answer
    x = 967.75

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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.