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Finding the Fourth Proportional to 1,055.76, 1,584.24 and 709.26

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Solution

The fourth proportional to 1,055.76, 1,584.24 and 709.26 is: 1,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.76 : 1,584.24 = 709.26 : x
  2. Step 2: Convert to fraction form
    1,055.76/1,584.24 = 709.26/x
  3. Step 3: Cross multiply
    1,055.76x = 1,584.24 × 709.26
  4. Step 4: Simplify right side
    1,055.76x = 1,123,638.06
  5. Step 5: Solve for x
    x = 1,123,638.06/1,055.76
  6. Step 6: Final answer
    x = 1,064.29

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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.