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Finding the Fourth Proportional to 1,314.65, 1,970.35 and 729.15

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Solution

The fourth proportional to 1,314.65, 1,970.35 and 729.15 is: 1,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.65 : 1,970.35 = 729.15 : x
  2. Step 2: Convert to fraction form
    1,314.65/1,970.35 = 729.15/x
  3. Step 3: Cross multiply
    1,314.65x = 1,970.35 × 729.15
  4. Step 4: Simplify right side
    1,314.65x = 1,436,677.06
  5. Step 5: Solve for x
    x = 1,436,677.06/1,314.65
  6. Step 6: Final answer
    x = 1,092.83

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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.