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Finding the Fourth Proportional to 704.40, 987.60 and 704.40

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Solution

The fourth proportional to 704.40, 987.60 and 704.40 is: 987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.40 : 987.60 = 704.40 : x
  2. Step 2: Convert to fraction form
    704.40/987.60 = 704.40/x
  3. Step 3: Cross multiply
    704.40x = 987.60 × 704.40
  4. Step 4: Simplify right side
    704.40x = 695,665.44
  5. Step 5: Solve for x
    x = 695,665.44/704.40
  6. Step 6: Final answer
    x = 987.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.