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Finding the Fourth Proportional to 1,125.28, 1,688.16 and 355.80

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Solution

The fourth proportional to 1,125.28, 1,688.16 and 355.80 is: 533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.28 : 1,688.16 = 355.80 : x
  2. Step 2: Convert to fraction form
    1,125.28/1,688.16 = 355.80/x
  3. Step 3: Cross multiply
    1,125.28x = 1,688.16 × 355.80
  4. Step 4: Simplify right side
    1,125.28x = 600,647.33
  5. Step 5: Solve for x
    x = 600,647.33/1,125.28
  6. Step 6: Final answer
    x = 533.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.