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Finding the Fourth Proportional to 959.94, 1,438.55 and 742.50

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Solution

The fourth proportional to 959.94, 1,438.55 and 742.50 is: 1,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.94 : 1,438.55 = 742.50 : x
  2. Step 2: Convert to fraction form
    959.94/1,438.55 = 742.50/x
  3. Step 3: Cross multiply
    959.94x = 1,438.55 × 742.50
  4. Step 4: Simplify right side
    959.94x = 1,068,123.38
  5. Step 5: Solve for x
    x = 1,068,123.38/959.94
  6. Step 6: Final answer
    x = 1,112.70

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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.