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Finding the Fourth Proportional to 1,007.04, 1,389.69 and 712.80

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Solution

The fourth proportional to 1,007.04, 1,389.69 and 712.80 is: 983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.04 : 1,389.69 = 712.80 : x
  2. Step 2: Convert to fraction form
    1,007.04/1,389.69 = 712.80/x
  3. Step 3: Cross multiply
    1,007.04x = 1,389.69 × 712.80
  4. Step 4: Simplify right side
    1,007.04x = 990,571.03
  5. Step 5: Solve for x
    x = 990,571.03/1,007.04
  6. Step 6: Final answer
    x = 983.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.