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Finding the Fourth Proportional to 525.06, 719.76 and 515.75

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Solution

The fourth proportional to 525.06, 719.76 and 515.75 is: 706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.06 : 719.76 = 515.75 : x
  2. Step 2: Convert to fraction form
    525.06/719.76 = 515.75/x
  3. Step 3: Cross multiply
    525.06x = 719.76 × 515.75
  4. Step 4: Simplify right side
    525.06x = 371,212.62
  5. Step 5: Solve for x
    x = 371,212.62/525.06
  6. Step 6: Final answer
    x = 706.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.