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Finding the Fourth Proportional to 899.77, 1,349.52 and 314.86

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Solution

The fourth proportional to 899.77, 1,349.52 and 314.86 is: 472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.77 : 1,349.52 = 314.86 : x
  2. Step 2: Convert to fraction form
    899.77/1,349.52 = 314.86/x
  3. Step 3: Cross multiply
    899.77x = 1,349.52 × 314.86
  4. Step 4: Simplify right side
    899.77x = 424,909.87
  5. Step 5: Solve for x
    x = 424,909.87/899.77
  6. Step 6: Final answer
    x = 472.24

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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.