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Finding the Fourth Proportional to 1,357.85, 2,037.47 and 664.50

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Solution

The fourth proportional to 1,357.85, 2,037.47 and 664.50 is: 997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.85 : 2,037.47 = 664.50 : x
  2. Step 2: Convert to fraction form
    1,357.85/2,037.47 = 664.50/x
  3. Step 3: Cross multiply
    1,357.85x = 2,037.47 × 664.50
  4. Step 4: Simplify right side
    1,357.85x = 1,353,895.49
  5. Step 5: Solve for x
    x = 1,353,895.49/1,357.85
  6. Step 6: Final answer
    x = 997.09

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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.