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Finding the Fourth Proportional to 736.02, 1,009.80 and 716.85

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Solution

The fourth proportional to 736.02, 1,009.80 and 716.85 is: 983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.02 : 1,009.80 = 716.85 : x
  2. Step 2: Convert to fraction form
    736.02/1,009.80 = 716.85/x
  3. Step 3: Cross multiply
    736.02x = 1,009.80 × 716.85
  4. Step 4: Simplify right side
    736.02x = 723,875.13
  5. Step 5: Solve for x
    x = 723,875.13/736.02
  6. Step 6: Final answer
    x = 983.50

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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.