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Finding the Fourth Proportional to 970.36, 1,454.11 and 482.74

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Solution

The fourth proportional to 970.36, 1,454.11 and 482.74 is: 723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.36 : 1,454.11 = 482.74 : x
  2. Step 2: Convert to fraction form
    970.36/1,454.11 = 482.74/x
  3. Step 3: Cross multiply
    970.36x = 1,454.11 × 482.74
  4. Step 4: Simplify right side
    970.36x = 701,957.06
  5. Step 5: Solve for x
    x = 701,957.06/970.36
  6. Step 6: Final answer
    x = 723.40

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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.