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Finding the Fourth Proportional to 1,363.88, 1,882.16 and 774.47

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Solution

The fourth proportional to 1,363.88, 1,882.16 and 774.47 is: 1,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.88 : 1,882.16 = 774.47 : x
  2. Step 2: Convert to fraction form
    1,363.88/1,882.16 = 774.47/x
  3. Step 3: Cross multiply
    1,363.88x = 1,882.16 × 774.47
  4. Step 4: Simplify right side
    1,363.88x = 1,457,663.17
  5. Step 5: Solve for x
    x = 1,457,663.17/1,363.88
  6. Step 6: Final answer
    x = 1,068.77

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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.