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Finding the Fourth Proportional to 714.83, 985.77 and 505.24

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Solution

The fourth proportional to 714.83, 985.77 and 505.24 is: 696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.83 : 985.77 = 505.24 : x
  2. Step 2: Convert to fraction form
    714.83/985.77 = 505.24/x
  3. Step 3: Cross multiply
    714.83x = 985.77 × 505.24
  4. Step 4: Simplify right side
    714.83x = 498,047.97
  5. Step 5: Solve for x
    x = 498,047.97/714.83
  6. Step 6: Final answer
    x = 696.74

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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.