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Finding the Fourth Proportional to 950.02, 1,308.99 and 687.58

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Solution

The fourth proportional to 950.02, 1,308.99 and 687.58 is: 947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.02 : 1,308.99 = 687.58 : x
  2. Step 2: Convert to fraction form
    950.02/1,308.99 = 687.58/x
  3. Step 3: Cross multiply
    950.02x = 1,308.99 × 687.58
  4. Step 4: Simplify right side
    950.02x = 900,035.34
  5. Step 5: Solve for x
    x = 900,035.34/950.02
  6. Step 6: Final answer
    x = 947.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.