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Finding the Fourth Proportional to 1,686.67, 2,528.26 and 646.42

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Solution

The fourth proportional to 1,686.67, 2,528.26 and 646.42 is: 968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.67 : 2,528.26 = 646.42 : x
  2. Step 2: Convert to fraction form
    1,686.67/2,528.26 = 646.42/x
  3. Step 3: Cross multiply
    1,686.67x = 2,528.26 × 646.42
  4. Step 4: Simplify right side
    1,686.67x = 1,634,317.83
  5. Step 5: Solve for x
    x = 1,634,317.83/1,686.67
  6. Step 6: Final answer
    x = 968.96

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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.