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Finding the Fourth Proportional to 899.87, 1,349.95 and 315.03

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Solution

The fourth proportional to 899.87, 1,349.95 and 315.03 is: 472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.87 : 1,349.95 = 315.03 : x
  2. Step 2: Convert to fraction form
    899.87/1,349.95 = 315.03/x
  3. Step 3: Cross multiply
    899.87x = 1,349.95 × 315.03
  4. Step 4: Simplify right side
    899.87x = 425,274.75
  5. Step 5: Solve for x
    x = 425,274.75/899.87
  6. Step 6: Final answer
    x = 472.60

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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.