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Finding the Fourth Proportional to 1,314.36, 1,971.62 and 340.48

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Solution

The fourth proportional to 1,314.36, 1,971.62 and 340.48 is: 510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.36 : 1,971.62 = 340.48 : x
  2. Step 2: Convert to fraction form
    1,314.36/1,971.62 = 340.48/x
  3. Step 3: Cross multiply
    1,314.36x = 1,971.62 × 340.48
  4. Step 4: Simplify right side
    1,314.36x = 671,297.18
  5. Step 5: Solve for x
    x = 671,297.18/1,314.36
  6. Step 6: Final answer
    x = 510.74

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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.