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Finding the Fourth Proportional to 1,007.53, 1,390.23 and 712.28

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Solution

The fourth proportional to 1,007.53, 1,390.23 and 712.28 is: 982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.53 : 1,390.23 = 712.28 : x
  2. Step 2: Convert to fraction form
    1,007.53/1,390.23 = 712.28/x
  3. Step 3: Cross multiply
    1,007.53x = 1,390.23 × 712.28
  4. Step 4: Simplify right side
    1,007.53x = 990,233.02
  5. Step 5: Solve for x
    x = 990,233.02/1,007.53
  6. Step 6: Final answer
    x = 982.83

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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.