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Finding the Fourth Proportional to 599.28, 894.82 and 537.18

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Solution

The fourth proportional to 599.28, 894.82 and 537.18 is: 802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.28 : 894.82 = 537.18 : x
  2. Step 2: Convert to fraction form
    599.28/894.82 = 537.18/x
  3. Step 3: Cross multiply
    599.28x = 894.82 × 537.18
  4. Step 4: Simplify right side
    599.28x = 480,678.06
  5. Step 5: Solve for x
    x = 480,678.06/599.28
  6. Step 6: Final answer
    x = 802.09

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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.