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Finding the Fourth Proportional to 697.59, 1,044.96 and 364.01

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Solution

The fourth proportional to 697.59, 1,044.96 and 364.01 is: 545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.59 : 1,044.96 = 364.01 : x
  2. Step 2: Convert to fraction form
    697.59/1,044.96 = 364.01/x
  3. Step 3: Cross multiply
    697.59x = 1,044.96 × 364.01
  4. Step 4: Simplify right side
    697.59x = 380,370.66
  5. Step 5: Solve for x
    x = 380,370.66/697.59
  6. Step 6: Final answer
    x = 545.26

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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.