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Finding the Fourth Proportional to 1,126.82, 1,690.23 and 477.20

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Solution

The fourth proportional to 1,126.82, 1,690.23 and 477.20 is: 715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.82 : 1,690.23 = 477.20 : x
  2. Step 2: Convert to fraction form
    1,126.82/1,690.23 = 477.20/x
  3. Step 3: Cross multiply
    1,126.82x = 1,690.23 × 477.20
  4. Step 4: Simplify right side
    1,126.82x = 806,569.30
  5. Step 5: Solve for x
    x = 806,569.30/1,126.82
  6. Step 6: Final answer
    x = 715.80

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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.