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Finding the Fourth Proportional to 687.69, 1,026.50 and 605.66

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Solution

The fourth proportional to 687.69, 1,026.50 and 605.66 is: 904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.69 : 1,026.50 = 605.66 : x
  2. Step 2: Convert to fraction form
    687.69/1,026.50 = 605.66/x
  3. Step 3: Cross multiply
    687.69x = 1,026.50 × 605.66
  4. Step 4: Simplify right side
    687.69x = 621,701.83
  5. Step 5: Solve for x
    x = 621,701.83/687.69
  6. Step 6: Final answer
    x = 904.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.