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Finding the Fourth Proportional to 723.58, 998 and 537.07

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Solution

The fourth proportional to 723.58, 998 and 537.07 is: 740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.58 : 998 = 537.07 : x
  2. Step 2: Convert to fraction form
    723.58/998 = 537.07/x
  3. Step 3: Cross multiply
    723.58x = 998 × 537.07
  4. Step 4: Simplify right side
    723.58x = 535,995.86
  5. Step 5: Solve for x
    x = 535,995.86/723.58
  6. Step 6: Final answer
    x = 740.76

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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.