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Finding the Fourth Proportional to 1,166.98, 1,610.42 and 643

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Solution

The fourth proportional to 1,166.98, 1,610.42 and 643 is: 887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.98 : 1,610.42 = 643 : x
  2. Step 2: Convert to fraction form
    1,166.98/1,610.42 = 643/x
  3. Step 3: Cross multiply
    1,166.98x = 1,610.42 × 643
  4. Step 4: Simplify right side
    1,166.98x = 1,035,501.67
  5. Step 5: Solve for x
    x = 1,035,501.67/1,166.98
  6. Step 6: Final answer
    x = 887.33

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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.