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Finding the Fourth Proportional to 1,070.14, 1,606.10 and 1,062.04

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Solution

The fourth proportional to 1,070.14, 1,606.10 and 1,062.04 is: 1,593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.14 : 1,606.10 = 1,062.04 : x
  2. Step 2: Convert to fraction form
    1,070.14/1,606.10 = 1,062.04/x
  3. Step 3: Cross multiply
    1,070.14x = 1,606.10 × 1,062.04
  4. Step 4: Simplify right side
    1,070.14x = 1,705,742.44
  5. Step 5: Solve for x
    x = 1,705,742.44/1,070.14
  6. Step 6: Final answer
    x = 1,593.94

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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.