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Finding the Fourth Proportional to 714.77, 985.03 and 572.81

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Solution

The fourth proportional to 714.77, 985.03 and 572.81 is: 789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.77 : 985.03 = 572.81 : x
  2. Step 2: Convert to fraction form
    714.77/985.03 = 572.81/x
  3. Step 3: Cross multiply
    714.77x = 985.03 × 572.81
  4. Step 4: Simplify right side
    714.77x = 564,236.06
  5. Step 5: Solve for x
    x = 564,236.06/714.77
  6. Step 6: Final answer
    x = 789.40

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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.