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Finding the Fourth Proportional to 1,606.51, 2,409.69 and 510.88

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Solution

The fourth proportional to 1,606.51, 2,409.69 and 510.88 is: 766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.51 : 2,409.69 = 510.88 : x
  2. Step 2: Convert to fraction form
    1,606.51/2,409.69 = 510.88/x
  3. Step 3: Cross multiply
    1,606.51x = 2,409.69 × 510.88
  4. Step 4: Simplify right side
    1,606.51x = 1,231,062.43
  5. Step 5: Solve for x
    x = 1,231,062.43/1,606.51
  6. Step 6: Final answer
    x = 766.30

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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.