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Finding the Fourth Proportional to 734.03, 1,101.65 and 572.73

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Solution

The fourth proportional to 734.03, 1,101.65 and 572.73 is: 859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.03 : 1,101.65 = 572.73 : x
  2. Step 2: Convert to fraction form
    734.03/1,101.65 = 572.73/x
  3. Step 3: Cross multiply
    734.03x = 1,101.65 × 572.73
  4. Step 4: Simplify right side
    734.03x = 630,945.14
  5. Step 5: Solve for x
    x = 630,945.14/734.03
  6. Step 6: Final answer
    x = 859.57

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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.