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Finding the Fourth Proportional to 753.48, 1,038.96 and 723.24

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Solution

The fourth proportional to 753.48, 1,038.96 and 723.24 is: 997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.48 : 1,038.96 = 723.24 : x
  2. Step 2: Convert to fraction form
    753.48/1,038.96 = 723.24/x
  3. Step 3: Cross multiply
    753.48x = 1,038.96 × 723.24
  4. Step 4: Simplify right side
    753.48x = 751,417.43
  5. Step 5: Solve for x
    x = 751,417.43/753.48
  6. Step 6: Final answer
    x = 997.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.