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Finding the Fourth Proportional to 1,070.21, 1,605.44 and 412.07

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Solution

The fourth proportional to 1,070.21, 1,605.44 and 412.07 is: 618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.21 : 1,605.44 = 412.07 : x
  2. Step 2: Convert to fraction form
    1,070.21/1,605.44 = 412.07/x
  3. Step 3: Cross multiply
    1,070.21x = 1,605.44 × 412.07
  4. Step 4: Simplify right side
    1,070.21x = 661,546.66
  5. Step 5: Solve for x
    x = 661,546.66/1,070.21
  6. Step 6: Final answer
    x = 618.15

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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.