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Finding the Fourth Proportional to 1,126.82, 1,689.06 and 577.78

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Solution

The fourth proportional to 1,126.82, 1,689.06 and 577.78 is: 866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.82 : 1,689.06 = 577.78 : x
  2. Step 2: Convert to fraction form
    1,126.82/1,689.06 = 577.78/x
  3. Step 3: Cross multiply
    1,126.82x = 1,689.06 × 577.78
  4. Step 4: Simplify right side
    1,126.82x = 975,905.09
  5. Step 5: Solve for x
    x = 975,905.09/1,126.82
  6. Step 6: Final answer
    x = 866.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.