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Finding the Fourth Proportional to 1,160.84, 1,742.22 and 477.32

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Solution

The fourth proportional to 1,160.84, 1,742.22 and 477.32 is: 716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.84 : 1,742.22 = 477.32 : x
  2. Step 2: Convert to fraction form
    1,160.84/1,742.22 = 477.32/x
  3. Step 3: Cross multiply
    1,160.84x = 1,742.22 × 477.32
  4. Step 4: Simplify right side
    1,160.84x = 831,596.45
  5. Step 5: Solve for x
    x = 831,596.45/1,160.84
  6. Step 6: Final answer
    x = 716.37

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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.