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Finding the Fourth Proportional to 829.17, 1,244.06 and 598.32

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Solution

The fourth proportional to 829.17, 1,244.06 and 598.32 is: 897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.17 : 1,244.06 = 598.32 : x
  2. Step 2: Convert to fraction form
    829.17/1,244.06 = 598.32/x
  3. Step 3: Cross multiply
    829.17x = 1,244.06 × 598.32
  4. Step 4: Simplify right side
    829.17x = 744,345.23
  5. Step 5: Solve for x
    x = 744,345.23/829.17
  6. Step 6: Final answer
    x = 897.70

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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.