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Finding the Fourth Proportional to 1,549.60, 2,323.92 and 509.36

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Solution

The fourth proportional to 1,549.60, 2,323.92 and 509.36 is: 763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.60 : 2,323.92 = 509.36 : x
  2. Step 2: Convert to fraction form
    1,549.60/2,323.92 = 509.36/x
  3. Step 3: Cross multiply
    1,549.60x = 2,323.92 × 509.36
  4. Step 4: Simplify right side
    1,549.60x = 1,183,717.49
  5. Step 5: Solve for x
    x = 1,183,717.49/1,549.60
  6. Step 6: Final answer
    x = 763.88

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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.