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Finding the Fourth Proportional to 1,604.66, 2,407.02 and 509.03

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Solution

The fourth proportional to 1,604.66, 2,407.02 and 509.03 is: 763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.66 : 2,407.02 = 509.03 : x
  2. Step 2: Convert to fraction form
    1,604.66/2,407.02 = 509.03/x
  3. Step 3: Cross multiply
    1,604.66x = 2,407.02 × 509.03
  4. Step 4: Simplify right side
    1,604.66x = 1,225,251.41
  5. Step 5: Solve for x
    x = 1,225,251.41/1,604.66
  6. Step 6: Final answer
    x = 763.56

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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.