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Finding the Fourth Proportional to 697.48, 957.20 and 631.84

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Solution

The fourth proportional to 697.48, 957.20 and 631.84 is: 867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.48 : 957.20 = 631.84 : x
  2. Step 2: Convert to fraction form
    697.48/957.20 = 631.84/x
  3. Step 3: Cross multiply
    697.48x = 957.20 × 631.84
  4. Step 4: Simplify right side
    697.48x = 604,797.25
  5. Step 5: Solve for x
    x = 604,797.25/697.48
  6. Step 6: Final answer
    x = 867.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.