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Finding the Fourth Proportional to 1,114.63, 1,662.53 and 1,050.39

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Solution

The fourth proportional to 1,114.63, 1,662.53 and 1,050.39 is: 1,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.63 : 1,662.53 = 1,050.39 : x
  2. Step 2: Convert to fraction form
    1,114.63/1,662.53 = 1,050.39/x
  3. Step 3: Cross multiply
    1,114.63x = 1,662.53 × 1,050.39
  4. Step 4: Simplify right side
    1,114.63x = 1,746,304.89
  5. Step 5: Solve for x
    x = 1,746,304.89/1,114.63
  6. Step 6: Final answer
    x = 1,566.71

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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.