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Finding the Fourth Proportional to 714.09, 985.37 and 403.59

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Solution

The fourth proportional to 714.09, 985.37 and 403.59 is: 556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.09 : 985.37 = 403.59 : x
  2. Step 2: Convert to fraction form
    714.09/985.37 = 403.59/x
  3. Step 3: Cross multiply
    714.09x = 985.37 × 403.59
  4. Step 4: Simplify right side
    714.09x = 397,683.46
  5. Step 5: Solve for x
    x = 397,683.46/714.09
  6. Step 6: Final answer
    x = 556.91

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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.