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Finding the Fourth Proportional to 599.40, 899.10 and 527.40

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Solution

The fourth proportional to 599.40, 899.10 and 527.40 is: 791.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.40 : 899.10 = 527.40 : x
  2. Step 2: Convert to fraction form
    599.40/899.10 = 527.40/x
  3. Step 3: Cross multiply
    599.40x = 899.10 × 527.40
  4. Step 4: Simplify right side
    599.40x = 474,185.34
  5. Step 5: Solve for x
    x = 474,185.34/599.40
  6. Step 6: Final answer
    x = 791.10

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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.