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Finding the Fourth Proportional to 941.58, 1,417.88 and 683.39

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Solution

The fourth proportional to 941.58, 1,417.88 and 683.39 is: 1,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.58 : 1,417.88 = 683.39 : x
  2. Step 2: Convert to fraction form
    941.58/1,417.88 = 683.39/x
  3. Step 3: Cross multiply
    941.58x = 1,417.88 × 683.39
  4. Step 4: Simplify right side
    941.58x = 968,954.51
  5. Step 5: Solve for x
    x = 968,954.51/941.58
  6. Step 6: Final answer
    x = 1,029.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.