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Finding the Fourth Proportional to 736.64, 1,106.08 and 412.64

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Solution

The fourth proportional to 736.64, 1,106.08 and 412.64 is: 619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.64 : 1,106.08 = 412.64 : x
  2. Step 2: Convert to fraction form
    736.64/1,106.08 = 412.64/x
  3. Step 3: Cross multiply
    736.64x = 1,106.08 × 412.64
  4. Step 4: Simplify right side
    736.64x = 456,412.85
  5. Step 5: Solve for x
    x = 456,412.85/736.64
  6. Step 6: Final answer
    x = 619.59

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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.