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Finding the Fourth Proportional to 599.32, 894.00 and 589.76

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Solution

The fourth proportional to 599.32, 894.00 and 589.76 is: 879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.32 : 894.00 = 589.76 : x
  2. Step 2: Convert to fraction form
    599.32/894.00 = 589.76/x
  3. Step 3: Cross multiply
    599.32x = 894.00 × 589.76
  4. Step 4: Simplify right side
    599.32x = 527,246.53
  5. Step 5: Solve for x
    x = 527,246.53/599.32
  6. Step 6: Final answer
    x = 879.74

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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.