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Finding the Fourth Proportional to 736.16, 1,014.82 and 514.42

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Solution

The fourth proportional to 736.16, 1,014.82 and 514.42 is: 709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.16 : 1,014.82 = 514.42 : x
  2. Step 2: Convert to fraction form
    736.16/1,014.82 = 514.42/x
  3. Step 3: Cross multiply
    736.16x = 1,014.82 × 514.42
  4. Step 4: Simplify right side
    736.16x = 522,038.63
  5. Step 5: Solve for x
    x = 522,038.63/736.16
  6. Step 6: Final answer
    x = 709.14

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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.