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Finding the Fourth Proportional to 1,170.06, 1,614.66 and 646.10

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Solution

The fourth proportional to 1,170.06, 1,614.66 and 646.10 is: 891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.06 : 1,614.66 = 646.10 : x
  2. Step 2: Convert to fraction form
    1,170.06/1,614.66 = 646.10/x
  3. Step 3: Cross multiply
    1,170.06x = 1,614.66 × 646.10
  4. Step 4: Simplify right side
    1,170.06x = 1,043,223.75
  5. Step 5: Solve for x
    x = 1,043,223.75/1,170.06
  6. Step 6: Final answer
    x = 891.60

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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.