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Finding the Fourth Proportional to 1,173.56, 1,751.67 and 1,035.21

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Solution

The fourth proportional to 1,173.56, 1,751.67 and 1,035.21 is: 1,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.56 : 1,751.67 = 1,035.21 : x
  2. Step 2: Convert to fraction form
    1,173.56/1,751.67 = 1,035.21/x
  3. Step 3: Cross multiply
    1,173.56x = 1,751.67 × 1,035.21
  4. Step 4: Simplify right side
    1,173.56x = 1,813,346.30
  5. Step 5: Solve for x
    x = 1,813,346.30/1,173.56
  6. Step 6: Final answer
    x = 1,545.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.