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Finding the Fourth Proportional to 1,166.53, 1,748.42 and 581.36

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Solution

The fourth proportional to 1,166.53, 1,748.42 and 581.36 is: 871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.53 : 1,748.42 = 581.36 : x
  2. Step 2: Convert to fraction form
    1,166.53/1,748.42 = 581.36/x
  3. Step 3: Cross multiply
    1,166.53x = 1,748.42 × 581.36
  4. Step 4: Simplify right side
    1,166.53x = 1,016,461.45
  5. Step 5: Solve for x
    x = 1,016,461.45/1,166.53
  6. Step 6: Final answer
    x = 871.35

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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.