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Finding the Fourth Proportional to 1,146, 1,581.87 and 772.74

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Solution

The fourth proportional to 1,146, 1,581.87 and 772.74 is: 1,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146 : 1,581.87 = 772.74 : x
  2. Step 2: Convert to fraction form
    1,146/1,581.87 = 772.74/x
  3. Step 3: Cross multiply
    1,146x = 1,581.87 × 772.74
  4. Step 4: Simplify right side
    1,146x = 1,222,374.22
  5. Step 5: Solve for x
    x = 1,222,374.22/1,146
  6. Step 6: Final answer
    x = 1,066.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.