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Finding the Fourth Proportional to 1,314.18, 1,970.21 and 492.00

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Solution

The fourth proportional to 1,314.18, 1,970.21 and 492.00 is: 737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.18 : 1,970.21 = 492.00 : x
  2. Step 2: Convert to fraction form
    1,314.18/1,970.21 = 492.00/x
  3. Step 3: Cross multiply
    1,314.18x = 1,970.21 × 492.00
  4. Step 4: Simplify right side
    1,314.18x = 969,331.01
  5. Step 5: Solve for x
    x = 969,331.01/1,314.18
  6. Step 6: Final answer
    x = 737.59

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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.