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Finding the Fourth Proportional to 1,170.13, 1,614.78 and 646.16

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Solution

The fourth proportional to 1,170.13, 1,614.78 and 646.16 is: 891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.13 : 1,614.78 = 646.16 : x
  2. Step 2: Convert to fraction form
    1,170.13/1,614.78 = 646.16/x
  3. Step 3: Cross multiply
    1,170.13x = 1,614.78 × 646.16
  4. Step 4: Simplify right side
    1,170.13x = 1,043,406.24
  5. Step 5: Solve for x
    x = 1,043,406.24/1,170.13
  6. Step 6: Final answer
    x = 891.70

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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.