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Finding the Fourth Proportional to 941.49, 1,298.61 and 646.25

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Solution

The fourth proportional to 941.49, 1,298.61 and 646.25 is: 891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.49 : 1,298.61 = 646.25 : x
  2. Step 2: Convert to fraction form
    941.49/1,298.61 = 646.25/x
  3. Step 3: Cross multiply
    941.49x = 1,298.61 × 646.25
  4. Step 4: Simplify right side
    941.49x = 839,226.71
  5. Step 5: Solve for x
    x = 839,226.71/941.49
  6. Step 6: Final answer
    x = 891.38

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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.