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Finding the Fourth Proportional to 1,314.14, 1,970.37 and 621

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Solution

The fourth proportional to 1,314.14, 1,970.37 and 621 is: 931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.14 : 1,970.37 = 621 : x
  2. Step 2: Convert to fraction form
    1,314.14/1,970.37 = 621/x
  3. Step 3: Cross multiply
    1,314.14x = 1,970.37 × 621
  4. Step 4: Simplify right side
    1,314.14x = 1,223,599.77
  5. Step 5: Solve for x
    x = 1,223,599.77/1,314.14
  6. Step 6: Final answer
    x = 931.11

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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.