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Finding the Fourth Proportional to 687.79, 1,036.41 and 568.72

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Solution

The fourth proportional to 687.79, 1,036.41 and 568.72 is: 856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.79 : 1,036.41 = 568.72 : x
  2. Step 2: Convert to fraction form
    687.79/1,036.41 = 568.72/x
  3. Step 3: Cross multiply
    687.79x = 1,036.41 × 568.72
  4. Step 4: Simplify right side
    687.79x = 589,427.10
  5. Step 5: Solve for x
    x = 589,427.10/687.79
  6. Step 6: Final answer
    x = 856.99

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Why These Related Problems?

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