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Finding the Fourth Proportional to 1,147.59, 1,727.58 and 1,045.53

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Solution

The fourth proportional to 1,147.59, 1,727.58 and 1,045.53 is: 1,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.59 : 1,727.58 = 1,045.53 : x
  2. Step 2: Convert to fraction form
    1,147.59/1,727.58 = 1,045.53/x
  3. Step 3: Cross multiply
    1,147.59x = 1,727.58 × 1,045.53
  4. Step 4: Simplify right side
    1,147.59x = 1,806,236.72
  5. Step 5: Solve for x
    x = 1,806,236.72/1,147.59
  6. Step 6: Final answer
    x = 1,573.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.