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Finding the Fourth Proportional to 598.65, 895.62 and 529.38

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Solution

The fourth proportional to 598.65, 895.62 and 529.38 is: 791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.65 : 895.62 = 529.38 : x
  2. Step 2: Convert to fraction form
    598.65/895.62 = 529.38/x
  3. Step 3: Cross multiply
    598.65x = 895.62 × 529.38
  4. Step 4: Simplify right side
    598.65x = 474,123.32
  5. Step 5: Solve for x
    x = 474,123.32/598.65
  6. Step 6: Final answer
    x = 791.99

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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.