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Finding the Fourth Proportional to 1,010.70, 1,525.01 and 996.30

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Solution

The fourth proportional to 1,010.70, 1,525.01 and 996.30 is: 1,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.70 : 1,525.01 = 996.30 : x
  2. Step 2: Convert to fraction form
    1,010.70/1,525.01 = 996.30/x
  3. Step 3: Cross multiply
    1,010.70x = 1,525.01 × 996.30
  4. Step 4: Simplify right side
    1,010.70x = 1,519,362.48
  5. Step 5: Solve for x
    x = 1,519,362.48/1,010.70
  6. Step 6: Final answer
    x = 1,503.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.