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Finding the Fourth Proportional to 687.16, 1,030.58 and 231.16

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Solution

The fourth proportional to 687.16, 1,030.58 and 231.16 is: 346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.16 : 1,030.58 = 231.16 : x
  2. Step 2: Convert to fraction form
    687.16/1,030.58 = 231.16/x
  3. Step 3: Cross multiply
    687.16x = 1,030.58 × 231.16
  4. Step 4: Simplify right side
    687.16x = 238,228.87
  5. Step 5: Solve for x
    x = 238,228.87/687.16
  6. Step 6: Final answer
    x = 346.69

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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.