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Finding the Fourth Proportional to 1,605.04, 2,407.52 and 419.06

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Solution

The fourth proportional to 1,605.04, 2,407.52 and 419.06 is: 628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.04 : 2,407.52 = 419.06 : x
  2. Step 2: Convert to fraction form
    1,605.04/2,407.52 = 419.06/x
  3. Step 3: Cross multiply
    1,605.04x = 2,407.52 × 419.06
  4. Step 4: Simplify right side
    1,605.04x = 1,008,902.40
  5. Step 5: Solve for x
    x = 1,008,902.40/1,605.04
  6. Step 6: Final answer
    x = 628.58

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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.