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Finding the Fourth Proportional to 736.93, 1,017.74 and 598.42

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Solution

The fourth proportional to 736.93, 1,017.74 and 598.42 is: 826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.93 : 1,017.74 = 598.42 : x
  2. Step 2: Convert to fraction form
    736.93/1,017.74 = 598.42/x
  3. Step 3: Cross multiply
    736.93x = 1,017.74 × 598.42
  4. Step 4: Simplify right side
    736.93x = 609,035.97
  5. Step 5: Solve for x
    x = 609,035.97/736.93
  6. Step 6: Final answer
    x = 826.45

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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.