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Finding the Fourth Proportional to 1,073.04, 1,610 and 415.08

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Solution

The fourth proportional to 1,073.04, 1,610 and 415.08 is: 622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.04 : 1,610 = 415.08 : x
  2. Step 2: Convert to fraction form
    1,073.04/1,610 = 415.08/x
  3. Step 3: Cross multiply
    1,073.04x = 1,610 × 415.08
  4. Step 4: Simplify right side
    1,073.04x = 668,278.80
  5. Step 5: Solve for x
    x = 668,278.80/1,073.04
  6. Step 6: Final answer
    x = 622.79

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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.