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Finding the Fourth Proportional to 1,130.43, 1,558.46 and 966.41

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Solution

The fourth proportional to 1,130.43, 1,558.46 and 966.41 is: 1,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.43 : 1,558.46 = 966.41 : x
  2. Step 2: Convert to fraction form
    1,130.43/1,558.46 = 966.41/x
  3. Step 3: Cross multiply
    1,130.43x = 1,558.46 × 966.41
  4. Step 4: Simplify right side
    1,130.43x = 1,506,105.95
  5. Step 5: Solve for x
    x = 1,506,105.95/1,130.43
  6. Step 6: Final answer
    x = 1,332.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.