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Finding the Fourth Proportional to 599.06, 899.50 and 522.50

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Solution

The fourth proportional to 599.06, 899.50 and 522.50 is: 784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.06 : 899.50 = 522.50 : x
  2. Step 2: Convert to fraction form
    599.06/899.50 = 522.50/x
  3. Step 3: Cross multiply
    599.06x = 899.50 × 522.50
  4. Step 4: Simplify right side
    599.06x = 469,988.75
  5. Step 5: Solve for x
    x = 469,988.75/599.06
  6. Step 6: Final answer
    x = 784.54

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Why These Related Problems?

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