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Finding the Fourth Proportional to 736.75, 1,105.53 and 476.52

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Solution

The fourth proportional to 736.75, 1,105.53 and 476.52 is: 715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.75 : 1,105.53 = 476.52 : x
  2. Step 2: Convert to fraction form
    736.75/1,105.53 = 476.52/x
  3. Step 3: Cross multiply
    736.75x = 1,105.53 × 476.52
  4. Step 4: Simplify right side
    736.75x = 526,807.16
  5. Step 5: Solve for x
    x = 526,807.16/736.75
  6. Step 6: Final answer
    x = 715.04

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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.