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Finding the Fourth Proportional to 974.50, 1,345.06 and 581.44

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Solution

The fourth proportional to 974.50, 1,345.06 and 581.44 is: 802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.50 : 1,345.06 = 581.44 : x
  2. Step 2: Convert to fraction form
    974.50/1,345.06 = 581.44/x
  3. Step 3: Cross multiply
    974.50x = 1,345.06 × 581.44
  4. Step 4: Simplify right side
    974.50x = 782,071.69
  5. Step 5: Solve for x
    x = 782,071.69/974.50
  6. Step 6: Final answer
    x = 802.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.