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Finding the Fourth Proportional to 603.29, 830.75 and 589.65

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Solution

The fourth proportional to 603.29, 830.75 and 589.65 is: 811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.29 : 830.75 = 589.65 : x
  2. Step 2: Convert to fraction form
    603.29/830.75 = 589.65/x
  3. Step 3: Cross multiply
    603.29x = 830.75 × 589.65
  4. Step 4: Simplify right side
    603.29x = 489,848.79
  5. Step 5: Solve for x
    x = 489,848.79/603.29
  6. Step 6: Final answer
    x = 811.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.