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Finding the Fourth Proportional to 525.74, 784.76 and 487.67

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Solution

The fourth proportional to 525.74, 784.76 and 487.67 is: 727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.74 : 784.76 = 487.67 : x
  2. Step 2: Convert to fraction form
    525.74/784.76 = 487.67/x
  3. Step 3: Cross multiply
    525.74x = 784.76 × 487.67
  4. Step 4: Simplify right side
    525.74x = 382,697.55
  5. Step 5: Solve for x
    x = 382,697.55/525.74
  6. Step 6: Final answer
    x = 727.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.