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Finding the Fourth Proportional to 1,531.76, 2,297.16 and 665.84

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Solution

The fourth proportional to 1,531.76, 2,297.16 and 665.84 is: 998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.76 : 2,297.16 = 665.84 : x
  2. Step 2: Convert to fraction form
    1,531.76/2,297.16 = 665.84/x
  3. Step 3: Cross multiply
    1,531.76x = 2,297.16 × 665.84
  4. Step 4: Simplify right side
    1,531.76x = 1,529,541.01
  5. Step 5: Solve for x
    x = 1,529,541.01/1,531.76
  6. Step 6: Final answer
    x = 998.55

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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.