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Finding the Fourth Proportional to 714.56, 985.16 and 525.36

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Solution

The fourth proportional to 714.56, 985.16 and 525.36 is: 724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.56 : 985.16 = 525.36 : x
  2. Step 2: Convert to fraction form
    714.56/985.16 = 525.36/x
  3. Step 3: Cross multiply
    714.56x = 985.16 × 525.36
  4. Step 4: Simplify right side
    714.56x = 517,563.66
  5. Step 5: Solve for x
    x = 517,563.66/714.56
  6. Step 6: Final answer
    x = 724.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.