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Finding the Fourth Proportional to 1,314.33, 1,971.64 and 340.50

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Solution

The fourth proportional to 1,314.33, 1,971.64 and 340.50 is: 510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.33 : 1,971.64 = 340.50 : x
  2. Step 2: Convert to fraction form
    1,314.33/1,971.64 = 340.50/x
  3. Step 3: Cross multiply
    1,314.33x = 1,971.64 × 340.50
  4. Step 4: Simplify right side
    1,314.33x = 671,351.24
  5. Step 5: Solve for x
    x = 671,351.24/1,314.33
  6. Step 6: Final answer
    x = 510.79

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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.