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Finding the Fourth Proportional to 704.04, 969.37 and 598.91

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Solution

The fourth proportional to 704.04, 969.37 and 598.91 is: 824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.04 : 969.37 = 598.91 : x
  2. Step 2: Convert to fraction form
    704.04/969.37 = 598.91/x
  3. Step 3: Cross multiply
    704.04x = 969.37 × 598.91
  4. Step 4: Simplify right side
    704.04x = 580,565.39
  5. Step 5: Solve for x
    x = 580,565.39/704.04
  6. Step 6: Final answer
    x = 824.62

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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.