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Finding the Fourth Proportional to 1,237.82, 1,857.15 and 653.00

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Solution

The fourth proportional to 1,237.82, 1,857.15 and 653.00 is: 979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.82 : 1,857.15 = 653.00 : x
  2. Step 2: Convert to fraction form
    1,237.82/1,857.15 = 653.00/x
  3. Step 3: Cross multiply
    1,237.82x = 1,857.15 × 653.00
  4. Step 4: Simplify right side
    1,237.82x = 1,212,709.66
  5. Step 5: Solve for x
    x = 1,212,709.66/1,237.82
  6. Step 6: Final answer
    x = 979.72

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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.