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Finding the Fourth Proportional to 783.72, 1,172.08 and 697.56

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Solution

The fourth proportional to 783.72, 1,172.08 and 697.56 is: 1,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.72 : 1,172.08 = 697.56 : x
  2. Step 2: Convert to fraction form
    783.72/1,172.08 = 697.56/x
  3. Step 3: Cross multiply
    783.72x = 1,172.08 × 697.56
  4. Step 4: Simplify right side
    783.72x = 817,596.12
  5. Step 5: Solve for x
    x = 817,596.12/783.72
  6. Step 6: Final answer
    x = 1,043.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.