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Finding the Fourth Proportional to 1,170.08, 1,614.72 and 646.12

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Solution

The fourth proportional to 1,170.08, 1,614.72 and 646.12 is: 891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.08 : 1,614.72 = 646.12 : x
  2. Step 2: Convert to fraction form
    1,170.08/1,614.72 = 646.12/x
  3. Step 3: Cross multiply
    1,170.08x = 1,614.72 × 646.12
  4. Step 4: Simplify right side
    1,170.08x = 1,043,302.89
  5. Step 5: Solve for x
    x = 1,043,302.89/1,170.08
  6. Step 6: Final answer
    x = 891.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.