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Finding the Fourth Proportional to 597.92, 895.52 and 537.78

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Solution

The fourth proportional to 597.92, 895.52 and 537.78 is: 805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.92 : 895.52 = 537.78 : x
  2. Step 2: Convert to fraction form
    597.92/895.52 = 537.78/x
  3. Step 3: Cross multiply
    597.92x = 895.52 × 537.78
  4. Step 4: Simplify right side
    597.92x = 481,590.06
  5. Step 5: Solve for x
    x = 481,590.06/597.92
  6. Step 6: Final answer
    x = 805.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.