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Finding the Fourth Proportional to 719.48, 1,077.98 and 430.31

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Solution

The fourth proportional to 719.48, 1,077.98 and 430.31 is: 644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.48 : 1,077.98 = 430.31 : x
  2. Step 2: Convert to fraction form
    719.48/1,077.98 = 430.31/x
  3. Step 3: Cross multiply
    719.48x = 1,077.98 × 430.31
  4. Step 4: Simplify right side
    719.48x = 463,866.12
  5. Step 5: Solve for x
    x = 463,866.12/719.48
  6. Step 6: Final answer
    x = 644.72

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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.