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Finding the Fourth Proportional to 736.04, 1,006.92 and 732.92

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Solution

The fourth proportional to 736.04, 1,006.92 and 732.92 is: 1,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.04 : 1,006.92 = 732.92 : x
  2. Step 2: Convert to fraction form
    736.04/1,006.92 = 732.92/x
  3. Step 3: Cross multiply
    736.04x = 1,006.92 × 732.92
  4. Step 4: Simplify right side
    736.04x = 737,991.81
  5. Step 5: Solve for x
    x = 737,991.81/736.04
  6. Step 6: Final answer
    x = 1,002.65

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1.5x scale

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.