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Finding the Fourth Proportional to 900.82, 1,350.88 and 315.65

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Solution

The fourth proportional to 900.82, 1,350.88 and 315.65 is: 473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.82 : 1,350.88 = 315.65 : x
  2. Step 2: Convert to fraction form
    900.82/1,350.88 = 315.65/x
  3. Step 3: Cross multiply
    900.82x = 1,350.88 × 315.65
  4. Step 4: Simplify right side
    900.82x = 426,405.27
  5. Step 5: Solve for x
    x = 426,405.27/900.82
  6. Step 6: Final answer
    x = 473.35

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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.