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Finding the Fourth Proportional to 1,166.40, 1,599.18 and 1,145.58

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Solution

The fourth proportional to 1,166.40, 1,599.18 and 1,145.58 is: 1,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.40 : 1,599.18 = 1,145.58 : x
  2. Step 2: Convert to fraction form
    1,166.40/1,599.18 = 1,145.58/x
  3. Step 3: Cross multiply
    1,166.40x = 1,599.18 × 1,145.58
  4. Step 4: Simplify right side
    1,166.40x = 1,831,988.62
  5. Step 5: Solve for x
    x = 1,831,988.62/1,166.40
  6. Step 6: Final answer
    x = 1,570.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.