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Finding the Fourth Proportional to 1,045.76, 1,568.68 and 276.26

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Solution

The fourth proportional to 1,045.76, 1,568.68 and 276.26 is: 414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.76 : 1,568.68 = 276.26 : x
  2. Step 2: Convert to fraction form
    1,045.76/1,568.68 = 276.26/x
  3. Step 3: Cross multiply
    1,045.76x = 1,568.68 × 276.26
  4. Step 4: Simplify right side
    1,045.76x = 433,363.54
  5. Step 5: Solve for x
    x = 433,363.54/1,045.76
  6. Step 6: Final answer
    x = 414.40

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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.