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Finding the Fourth Proportional to 972.05, 1,458.11 and 484.93

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Solution

The fourth proportional to 972.05, 1,458.11 and 484.93 is: 727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.05 : 1,458.11 = 484.93 : x
  2. Step 2: Convert to fraction form
    972.05/1,458.11 = 484.93/x
  3. Step 3: Cross multiply
    972.05x = 1,458.11 × 484.93
  4. Step 4: Simplify right side
    972.05x = 707,078.85
  5. Step 5: Solve for x
    x = 707,078.85/972.05
  6. Step 6: Final answer
    x = 727.41

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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.