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Finding the Fourth Proportional to 687.54, 1,036.03 and 568.47

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Solution

The fourth proportional to 687.54, 1,036.03 and 568.47 is: 856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.54 : 1,036.03 = 568.47 : x
  2. Step 2: Convert to fraction form
    687.54/1,036.03 = 568.47/x
  3. Step 3: Cross multiply
    687.54x = 1,036.03 × 568.47
  4. Step 4: Simplify right side
    687.54x = 588,950.55
  5. Step 5: Solve for x
    x = 588,950.55/687.54
  6. Step 6: Final answer
    x = 856.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.