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Finding the Fourth Proportional to 1,117.08, 1,668.14 and 943.94

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Solution

The fourth proportional to 1,117.08, 1,668.14 and 943.94 is: 1,409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.08 : 1,668.14 = 943.94 : x
  2. Step 2: Convert to fraction form
    1,117.08/1,668.14 = 943.94/x
  3. Step 3: Cross multiply
    1,117.08x = 1,668.14 × 943.94
  4. Step 4: Simplify right side
    1,117.08x = 1,574,611.01
  5. Step 5: Solve for x
    x = 1,574,611.01/1,117.08
  6. Step 6: Final answer
    x = 1,409.58

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