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Finding the Fourth Proportional to 736.16, 1,102.62 and 410.72

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Solution

The fourth proportional to 736.16, 1,102.62 and 410.72 is: 615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.16 : 1,102.62 = 410.72 : x
  2. Step 2: Convert to fraction form
    736.16/1,102.62 = 410.72/x
  3. Step 3: Cross multiply
    736.16x = 1,102.62 × 410.72
  4. Step 4: Simplify right side
    736.16x = 452,868.09
  5. Step 5: Solve for x
    x = 452,868.09/736.16
  6. Step 6: Final answer
    x = 615.18

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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.