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Finding the Fourth Proportional to 1,057.18, 1,584.08 and 709.23

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Solution

The fourth proportional to 1,057.18, 1,584.08 and 709.23 is: 1,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.18 : 1,584.08 = 709.23 : x
  2. Step 2: Convert to fraction form
    1,057.18/1,584.08 = 709.23/x
  3. Step 3: Cross multiply
    1,057.18x = 1,584.08 × 709.23
  4. Step 4: Simplify right side
    1,057.18x = 1,123,477.06
  5. Step 5: Solve for x
    x = 1,123,477.06/1,057.18
  6. Step 6: Final answer
    x = 1,062.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.