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Finding the Fourth Proportional to 729.96, 1,006.74 and 598.74

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Solution

The fourth proportional to 729.96, 1,006.74 and 598.74 is: 825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.96 : 1,006.74 = 598.74 : x
  2. Step 2: Convert to fraction form
    729.96/1,006.74 = 598.74/x
  3. Step 3: Cross multiply
    729.96x = 1,006.74 × 598.74
  4. Step 4: Simplify right side
    729.96x = 602,775.51
  5. Step 5: Solve for x
    x = 602,775.51/729.96
  6. Step 6: Final answer
    x = 825.77

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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.