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Finding the Fourth Proportional to 899.65, 1,349.22 and 570.10

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Solution

The fourth proportional to 899.65, 1,349.22 and 570.10 is: 854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.65 : 1,349.22 = 570.10 : x
  2. Step 2: Convert to fraction form
    899.65/1,349.22 = 570.10/x
  3. Step 3: Cross multiply
    899.65x = 1,349.22 × 570.10
  4. Step 4: Simplify right side
    899.65x = 769,180.73
  5. Step 5: Solve for x
    x = 769,180.73/899.65
  6. Step 6: Final answer
    x = 854.98

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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.