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Finding the Fourth Proportional to 1,166.04, 1,756.05 and 1,051.96

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Solution

The fourth proportional to 1,166.04, 1,756.05 and 1,051.96 is: 1,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.04 : 1,756.05 = 1,051.96 : x
  2. Step 2: Convert to fraction form
    1,166.04/1,756.05 = 1,051.96/x
  3. Step 3: Cross multiply
    1,166.04x = 1,756.05 × 1,051.96
  4. Step 4: Simplify right side
    1,166.04x = 1,847,294.36
  5. Step 5: Solve for x
    x = 1,847,294.36/1,166.04
  6. Step 6: Final answer
    x = 1,584.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.