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Finding the Fourth Proportional to 687.36, 948.72 and 589.20

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Solution

The fourth proportional to 687.36, 948.72 and 589.20 is: 813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.36 : 948.72 = 589.20 : x
  2. Step 2: Convert to fraction form
    687.36/948.72 = 589.20/x
  3. Step 3: Cross multiply
    687.36x = 948.72 × 589.20
  4. Step 4: Simplify right side
    687.36x = 558,985.82
  5. Step 5: Solve for x
    x = 558,985.82/687.36
  6. Step 6: Final answer
    x = 813.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.