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Finding the Fourth Proportional to 1,079.10, 1,618.53 and 421.29

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Solution

The fourth proportional to 1,079.10, 1,618.53 and 421.29 is: 631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.10 : 1,618.53 = 421.29 : x
  2. Step 2: Convert to fraction form
    1,079.10/1,618.53 = 421.29/x
  3. Step 3: Cross multiply
    1,079.10x = 1,618.53 × 421.29
  4. Step 4: Simplify right side
    1,079.10x = 681,870.50
  5. Step 5: Solve for x
    x = 681,870.50/1,079.10
  6. Step 6: Final answer
    x = 631.89

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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.