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Finding the Fourth Proportional to 697.18, 1,039.12 and 658.26

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Solution

The fourth proportional to 697.18, 1,039.12 and 658.26 is: 981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.18 : 1,039.12 = 658.26 : x
  2. Step 2: Convert to fraction form
    697.18/1,039.12 = 658.26/x
  3. Step 3: Cross multiply
    697.18x = 1,039.12 × 658.26
  4. Step 4: Simplify right side
    697.18x = 684,011.13
  5. Step 5: Solve for x
    x = 684,011.13/697.18
  6. Step 6: Final answer
    x = 981.11

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Why These Related Problems?

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