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Finding the Fourth Proportional to 1,020.33, 1,410.28 and 901.46

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Solution

The fourth proportional to 1,020.33, 1,410.28 and 901.46 is: 1,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.33 : 1,410.28 = 901.46 : x
  2. Step 2: Convert to fraction form
    1,020.33/1,410.28 = 901.46/x
  3. Step 3: Cross multiply
    1,020.33x = 1,410.28 × 901.46
  4. Step 4: Simplify right side
    1,020.33x = 1,271,312.28
  5. Step 5: Solve for x
    x = 1,271,312.28/1,020.33
  6. Step 6: Final answer
    x = 1,245.98

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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.