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Finding the Fourth Proportional to 697.02, 1,046.29 and 524.18

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Solution

The fourth proportional to 697.02, 1,046.29 and 524.18 is: 786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.02 : 1,046.29 = 524.18 : x
  2. Step 2: Convert to fraction form
    697.02/1,046.29 = 524.18/x
  3. Step 3: Cross multiply
    697.02x = 1,046.29 × 524.18
  4. Step 4: Simplify right side
    697.02x = 548,445.60
  5. Step 5: Solve for x
    x = 548,445.60/697.02
  6. Step 6: Final answer
    x = 786.84

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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.