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Finding the Fourth Proportional to 953.54, 1,438.93 and 920.93

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Solution

The fourth proportional to 953.54, 1,438.93 and 920.93 is: 1,389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.54 : 1,438.93 = 920.93 : x
  2. Step 2: Convert to fraction form
    953.54/1,438.93 = 920.93/x
  3. Step 3: Cross multiply
    953.54x = 1,438.93 × 920.93
  4. Step 4: Simplify right side
    953.54x = 1,325,155.10
  5. Step 5: Solve for x
    x = 1,325,155.10/953.54
  6. Step 6: Final answer
    x = 1,389.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.