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Finding the Fourth Proportional to 687.20, 1,028.40 and 562.36

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Solution

The fourth proportional to 687.20, 1,028.40 and 562.36 is: 841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.20 : 1,028.40 = 562.36 : x
  2. Step 2: Convert to fraction form
    687.20/1,028.40 = 562.36/x
  3. Step 3: Cross multiply
    687.20x = 1,028.40 × 562.36
  4. Step 4: Simplify right side
    687.20x = 578,328.45
  5. Step 5: Solve for x
    x = 578,328.45/687.20
  6. Step 6: Final answer
    x = 841.58

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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.