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Finding the Fourth Proportional to 719.92, 1,077.36 and 588.36

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Solution

The fourth proportional to 719.92, 1,077.36 and 588.36 is: 880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.92 : 1,077.36 = 588.36 : x
  2. Step 2: Convert to fraction form
    719.92/1,077.36 = 588.36/x
  3. Step 3: Cross multiply
    719.92x = 1,077.36 × 588.36
  4. Step 4: Simplify right side
    719.92x = 633,875.53
  5. Step 5: Solve for x
    x = 633,875.53/719.92
  6. Step 6: Final answer
    x = 880.48

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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.