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Finding the Fourth Proportional to 1,057.90, 1,460.06 and 665.46

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Solution

The fourth proportional to 1,057.90, 1,460.06 and 665.46 is: 918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.90 : 1,460.06 = 665.46 : x
  2. Step 2: Convert to fraction form
    1,057.90/1,460.06 = 665.46/x
  3. Step 3: Cross multiply
    1,057.90x = 1,460.06 × 665.46
  4. Step 4: Simplify right side
    1,057.90x = 971,611.53
  5. Step 5: Solve for x
    x = 971,611.53/1,057.90
  6. Step 6: Final answer
    x = 918.43

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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.