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Finding the Fourth Proportional to 897.22, 1,238.10 and 524.30

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Solution

The fourth proportional to 897.22, 1,238.10 and 524.30 is: 723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.22 : 1,238.10 = 524.30 : x
  2. Step 2: Convert to fraction form
    897.22/1,238.10 = 524.30/x
  3. Step 3: Cross multiply
    897.22x = 1,238.10 × 524.30
  4. Step 4: Simplify right side
    897.22x = 649,135.83
  5. Step 5: Solve for x
    x = 649,135.83/897.22
  6. Step 6: Final answer
    x = 723.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.