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Finding the Fourth Proportional to 732.85, 1,010.29 and 522.67

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Solution

The fourth proportional to 732.85, 1,010.29 and 522.67 is: 720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.85 : 1,010.29 = 522.67 : x
  2. Step 2: Convert to fraction form
    732.85/1,010.29 = 522.67/x
  3. Step 3: Cross multiply
    732.85x = 1,010.29 × 522.67
  4. Step 4: Simplify right side
    732.85x = 528,047.32
  5. Step 5: Solve for x
    x = 528,047.32/732.85
  6. Step 6: Final answer
    x = 720.54

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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.