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Finding the Fourth Proportional to 1,420.48, 1,958.70 and 1,027.72

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Solution

The fourth proportional to 1,420.48, 1,958.70 and 1,027.72 is: 1,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.48 : 1,958.70 = 1,027.72 : x
  2. Step 2: Convert to fraction form
    1,420.48/1,958.70 = 1,027.72/x
  3. Step 3: Cross multiply
    1,420.48x = 1,958.70 × 1,027.72
  4. Step 4: Simplify right side
    1,420.48x = 2,012,995.16
  5. Step 5: Solve for x
    x = 2,012,995.16/1,420.48
  6. Step 6: Final answer
    x = 1,417.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.