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Finding the Fourth Proportional to 736.60, 1,106.42 and 712

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Solution

The fourth proportional to 736.60, 1,106.42 and 712 is: 1,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.60 : 1,106.42 = 712 : x
  2. Step 2: Convert to fraction form
    736.60/1,106.42 = 712/x
  3. Step 3: Cross multiply
    736.60x = 1,106.42 × 712
  4. Step 4: Simplify right side
    736.60x = 787,771.04
  5. Step 5: Solve for x
    x = 787,771.04/736.60
  6. Step 6: Final answer
    x = 1,069.47

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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.