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Finding the Fourth Proportional to 504.56, 756.84 and 139.35

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Solution

The fourth proportional to 504.56, 756.84 and 139.35 is: 209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.56 : 756.84 = 139.35 : x
  2. Step 2: Convert to fraction form
    504.56/756.84 = 139.35/x
  3. Step 3: Cross multiply
    504.56x = 756.84 × 139.35
  4. Step 4: Simplify right side
    504.56x = 105,465.65
  5. Step 5: Solve for x
    x = 105,465.65/504.56
  6. Step 6: Final answer
    x = 209.03

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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.