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Finding the Fourth Proportional to 1,275.95, 1,913.93 and 506.45

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Solution

The fourth proportional to 1,275.95, 1,913.93 and 506.45 is: 759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.95 : 1,913.93 = 506.45 : x
  2. Step 2: Convert to fraction form
    1,275.95/1,913.93 = 506.45/x
  3. Step 3: Cross multiply
    1,275.95x = 1,913.93 × 506.45
  4. Step 4: Simplify right side
    1,275.95x = 969,297.75
  5. Step 5: Solve for x
    x = 969,297.75/1,275.95
  6. Step 6: Final answer
    x = 759.67

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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.