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Finding the Fourth Proportional to 1,225.68, 1,838.52 and 531.78

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Solution

The fourth proportional to 1,225.68, 1,838.52 and 531.78 is: 797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.68 : 1,838.52 = 531.78 : x
  2. Step 2: Convert to fraction form
    1,225.68/1,838.52 = 531.78/x
  3. Step 3: Cross multiply
    1,225.68x = 1,838.52 × 531.78
  4. Step 4: Simplify right side
    1,225.68x = 977,688.17
  5. Step 5: Solve for x
    x = 977,688.17/1,225.68
  6. Step 6: Final answer
    x = 797.67

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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.