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Finding the Fourth Proportional to 897.45, 1,238.58 and 524.40

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Solution

The fourth proportional to 897.45, 1,238.58 and 524.40 is: 723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.45 : 1,238.58 = 524.40 : x
  2. Step 2: Convert to fraction form
    897.45/1,238.58 = 524.40/x
  3. Step 3: Cross multiply
    897.45x = 1,238.58 × 524.40
  4. Step 4: Simplify right side
    897.45x = 649,511.35
  5. Step 5: Solve for x
    x = 649,511.35/897.45
  6. Step 6: Final answer
    x = 723.73

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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.