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Finding the Fourth Proportional to 697.70, 1,043.48 and 525.18

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Solution

The fourth proportional to 697.70, 1,043.48 and 525.18 is: 785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.70 : 1,043.48 = 525.18 : x
  2. Step 2: Convert to fraction form
    697.70/1,043.48 = 525.18/x
  3. Step 3: Cross multiply
    697.70x = 1,043.48 × 525.18
  4. Step 4: Simplify right side
    697.70x = 548,014.83
  5. Step 5: Solve for x
    x = 548,014.83/697.70
  6. Step 6: Final answer
    x = 785.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.