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Finding the Fourth Proportional to 724.51, 1,087.10 and 359.21

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Solution

The fourth proportional to 724.51, 1,087.10 and 359.21 is: 538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.51 : 1,087.10 = 359.21 : x
  2. Step 2: Convert to fraction form
    724.51/1,087.10 = 359.21/x
  3. Step 3: Cross multiply
    724.51x = 1,087.10 × 359.21
  4. Step 4: Simplify right side
    724.51x = 390,497.19
  5. Step 5: Solve for x
    x = 390,497.19/724.51
  6. Step 6: Final answer
    x = 538.98

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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.