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Finding the Fourth Proportional to 1,071.08, 1,606.29 and 412.85

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Solution

The fourth proportional to 1,071.08, 1,606.29 and 412.85 is: 619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.08 : 1,606.29 = 412.85 : x
  2. Step 2: Convert to fraction form
    1,071.08/1,606.29 = 412.85/x
  3. Step 3: Cross multiply
    1,071.08x = 1,606.29 × 412.85
  4. Step 4: Simplify right side
    1,071.08x = 663,148.80
  5. Step 5: Solve for x
    x = 663,148.80/1,071.08
  6. Step 6: Final answer
    x = 619.14

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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.