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Finding the Fourth Proportional to 697.59, 1,044.77 and 409.23

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Solution

The fourth proportional to 697.59, 1,044.77 and 409.23 is: 612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.59 : 1,044.77 = 409.23 : x
  2. Step 2: Convert to fraction form
    697.59/1,044.77 = 409.23/x
  3. Step 3: Cross multiply
    697.59x = 1,044.77 × 409.23
  4. Step 4: Simplify right side
    697.59x = 427,549.18
  5. Step 5: Solve for x
    x = 427,549.18/697.59
  6. Step 6: Final answer
    x = 612.89

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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.