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Finding the Fourth Proportional to 1,314.90, 1,972.19 and 341.07

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Solution

The fourth proportional to 1,314.90, 1,972.19 and 341.07 is: 511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.90 : 1,972.19 = 341.07 : x
  2. Step 2: Convert to fraction form
    1,314.90/1,972.19 = 341.07/x
  3. Step 3: Cross multiply
    1,314.90x = 1,972.19 × 341.07
  4. Step 4: Simplify right side
    1,314.90x = 672,654.84
  5. Step 5: Solve for x
    x = 672,654.84/1,314.90
  6. Step 6: Final answer
    x = 511.56

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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.