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Finding the Fourth Proportional to 719.76, 1,079.64 and 287.22

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Solution

The fourth proportional to 719.76, 1,079.64 and 287.22 is: 430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.76 : 1,079.64 = 287.22 : x
  2. Step 2: Convert to fraction form
    719.76/1,079.64 = 287.22/x
  3. Step 3: Cross multiply
    719.76x = 1,079.64 × 287.22
  4. Step 4: Simplify right side
    719.76x = 310,094.20
  5. Step 5: Solve for x
    x = 310,094.20/719.76
  6. Step 6: Final answer
    x = 430.83

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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.