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Finding the Fourth Proportional to 697.08, 1,044.18 and 504.12

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Solution

The fourth proportional to 697.08, 1,044.18 and 504.12 is: 755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.08 : 1,044.18 = 504.12 : x
  2. Step 2: Convert to fraction form
    697.08/1,044.18 = 504.12/x
  3. Step 3: Cross multiply
    697.08x = 1,044.18 × 504.12
  4. Step 4: Simplify right side
    697.08x = 526,392.02
  5. Step 5: Solve for x
    x = 526,392.02/697.08
  6. Step 6: Final answer
    x = 755.14

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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.