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Finding the Fourth Proportional to 1,055.31, 1,573.64 and 1,046.10

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Solution

The fourth proportional to 1,055.31, 1,573.64 and 1,046.10 is: 1,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.31 : 1,573.64 = 1,046.10 : x
  2. Step 2: Convert to fraction form
    1,055.31/1,573.64 = 1,046.10/x
  3. Step 3: Cross multiply
    1,055.31x = 1,573.64 × 1,046.10
  4. Step 4: Simplify right side
    1,055.31x = 1,646,179.57
  5. Step 5: Solve for x
    x = 1,646,179.57/1,055.31
  6. Step 6: Final answer
    x = 1,559.90

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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.