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Finding the Fourth Proportional to 1,312.81, 1,969.24 and 490.65

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Solution

The fourth proportional to 1,312.81, 1,969.24 and 490.65 is: 735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.81 : 1,969.24 = 490.65 : x
  2. Step 2: Convert to fraction form
    1,312.81/1,969.24 = 490.65/x
  3. Step 3: Cross multiply
    1,312.81x = 1,969.24 × 490.65
  4. Step 4: Simplify right side
    1,312.81x = 966,207.61
  5. Step 5: Solve for x
    x = 966,207.61/1,312.81
  6. Step 6: Final answer
    x = 735.98

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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.