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Finding the Fourth Proportional to 1,302.23, 1,797.09 and 712.78

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Solution

The fourth proportional to 1,302.23, 1,797.09 and 712.78 is: 983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.23 : 1,797.09 = 712.78 : x
  2. Step 2: Convert to fraction form
    1,302.23/1,797.09 = 712.78/x
  3. Step 3: Cross multiply
    1,302.23x = 1,797.09 × 712.78
  4. Step 4: Simplify right side
    1,302.23x = 1,280,925.32
  5. Step 5: Solve for x
    x = 1,280,925.32/1,302.23
  6. Step 6: Final answer
    x = 983.64

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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.