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Finding the Fourth Proportional to 525.84, 723.56 and 511.50

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Solution

The fourth proportional to 525.84, 723.56 and 511.50 is: 703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.84 : 723.56 = 511.50 : x
  2. Step 2: Convert to fraction form
    525.84/723.56 = 511.50/x
  3. Step 3: Cross multiply
    525.84x = 723.56 × 511.50
  4. Step 4: Simplify right side
    525.84x = 370,100.94
  5. Step 5: Solve for x
    x = 370,100.94/525.84
  6. Step 6: Final answer
    x = 703.83

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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.