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Finding the Fourth Proportional to 1,165.84, 1,748.38 and 385.66

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Solution

The fourth proportional to 1,165.84, 1,748.38 and 385.66 is: 578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.84 : 1,748.38 = 385.66 : x
  2. Step 2: Convert to fraction form
    1,165.84/1,748.38 = 385.66/x
  3. Step 3: Cross multiply
    1,165.84x = 1,748.38 × 385.66
  4. Step 4: Simplify right side
    1,165.84x = 674,280.23
  5. Step 5: Solve for x
    x = 674,280.23/1,165.84
  6. Step 6: Final answer
    x = 578.36

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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.