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Finding the Fourth Proportional to 687.09, 1,030.15 and 357.82

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Solution

The fourth proportional to 687.09, 1,030.15 and 357.82 is: 536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.09 : 1,030.15 = 357.82 : x
  2. Step 2: Convert to fraction form
    687.09/1,030.15 = 357.82/x
  3. Step 3: Cross multiply
    687.09x = 1,030.15 × 357.82
  4. Step 4: Simplify right side
    687.09x = 368,608.27
  5. Step 5: Solve for x
    x = 368,608.27/687.09
  6. Step 6: Final answer
    x = 536.48

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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.