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Finding the Fourth Proportional to 970.92, 1,454.32 and 482.94

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Solution

The fourth proportional to 970.92, 1,454.32 and 482.94 is: 723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.92 : 1,454.32 = 482.94 : x
  2. Step 2: Convert to fraction form
    970.92/1,454.32 = 482.94/x
  3. Step 3: Cross multiply
    970.92x = 1,454.32 × 482.94
  4. Step 4: Simplify right side
    970.92x = 702,349.30
  5. Step 5: Solve for x
    x = 702,349.30/970.92
  6. Step 6: Final answer
    x = 723.39

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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.