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Finding the Fourth Proportional to 736.94, 1,009.60 and 709.22

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Solution

The fourth proportional to 736.94, 1,009.60 and 709.22 is: 971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.94 : 1,009.60 = 709.22 : x
  2. Step 2: Convert to fraction form
    736.94/1,009.60 = 709.22/x
  3. Step 3: Cross multiply
    736.94x = 1,009.60 × 709.22
  4. Step 4: Simplify right side
    736.94x = 716,028.51
  5. Step 5: Solve for x
    x = 716,028.51/736.94
  6. Step 6: Final answer
    x = 971.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.