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Finding the Fourth Proportional to 1,604.55, 2,406.84 and 509.01

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Solution

The fourth proportional to 1,604.55, 2,406.84 and 509.01 is: 763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.55 : 2,406.84 = 509.01 : x
  2. Step 2: Convert to fraction form
    1,604.55/2,406.84 = 509.01/x
  3. Step 3: Cross multiply
    1,604.55x = 2,406.84 × 509.01
  4. Step 4: Simplify right side
    1,604.55x = 1,225,105.63
  5. Step 5: Solve for x
    x = 1,225,105.63/1,604.55
  6. Step 6: Final answer
    x = 763.52

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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.