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Finding the Fourth Proportional to 598.65, 892.96 and 589.53

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Solution

The fourth proportional to 598.65, 892.96 and 589.53 is: 879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.65 : 892.96 = 589.53 : x
  2. Step 2: Convert to fraction form
    598.65/892.96 = 589.53/x
  3. Step 3: Cross multiply
    598.65x = 892.96 × 589.53
  4. Step 4: Simplify right side
    598.65x = 526,426.71
  5. Step 5: Solve for x
    x = 526,426.71/598.65
  6. Step 6: Final answer
    x = 879.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.