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Finding the Fourth Proportional to 1,549.40, 2,323.82 and 509.38

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Solution

The fourth proportional to 1,549.40, 2,323.82 and 509.38 is: 763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.40 : 2,323.82 = 509.38 : x
  2. Step 2: Convert to fraction form
    1,549.40/2,323.82 = 509.38/x
  3. Step 3: Cross multiply
    1,549.40x = 2,323.82 × 509.38
  4. Step 4: Simplify right side
    1,549.40x = 1,183,707.43
  5. Step 5: Solve for x
    x = 1,183,707.43/1,549.40
  6. Step 6: Final answer
    x = 763.98

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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.