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Finding the Fourth Proportional to 690.12, 1,033.29 and 646.83

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Solution

The fourth proportional to 690.12, 1,033.29 and 646.83 is: 968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.12 : 1,033.29 = 646.83 : x
  2. Step 2: Convert to fraction form
    690.12/1,033.29 = 646.83/x
  3. Step 3: Cross multiply
    690.12x = 1,033.29 × 646.83
  4. Step 4: Simplify right side
    690.12x = 668,362.97
  5. Step 5: Solve for x
    x = 668,362.97/690.12
  6. Step 6: Final answer
    x = 968.47

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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.