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Finding the Fourth Proportional to 734.39, 1,101.72 and 598.64

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Solution

The fourth proportional to 734.39, 1,101.72 and 598.64 is: 898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.39 : 1,101.72 = 598.64 : x
  2. Step 2: Convert to fraction form
    734.39/1,101.72 = 598.64/x
  3. Step 3: Cross multiply
    734.39x = 1,101.72 × 598.64
  4. Step 4: Simplify right side
    734.39x = 659,533.66
  5. Step 5: Solve for x
    x = 659,533.66/734.39
  6. Step 6: Final answer
    x = 898.07

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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.