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Finding the Fourth Proportional to 719.70, 1,077.12 and 598.20

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Solution

The fourth proportional to 719.70, 1,077.12 and 598.20 is: 895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.70 : 1,077.12 = 598.20 : x
  2. Step 2: Convert to fraction form
    719.70/1,077.12 = 598.20/x
  3. Step 3: Cross multiply
    719.70x = 1,077.12 × 598.20
  4. Step 4: Simplify right side
    719.70x = 644,333.18
  5. Step 5: Solve for x
    x = 644,333.18/719.70
  6. Step 6: Final answer
    x = 895.28

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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.