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Finding the Fourth Proportional to 974.34, 1,460.07 and 802.23

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Solution

The fourth proportional to 974.34, 1,460.07 and 802.23 is: 1,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.34 : 1,460.07 = 802.23 : x
  2. Step 2: Convert to fraction form
    974.34/1,460.07 = 802.23/x
  3. Step 3: Cross multiply
    974.34x = 1,460.07 × 802.23
  4. Step 4: Simplify right side
    974.34x = 1,171,311.96
  5. Step 5: Solve for x
    x = 1,171,311.96/974.34
  6. Step 6: Final answer
    x = 1,202.16

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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.