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Finding the Fourth Proportional to 1,027.10, 1,541.26 and 962.24

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Solution

The fourth proportional to 1,027.10, 1,541.26 and 962.24 is: 1,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.10 : 1,541.26 = 962.24 : x
  2. Step 2: Convert to fraction form
    1,027.10/1,541.26 = 962.24/x
  3. Step 3: Cross multiply
    1,027.10x = 1,541.26 × 962.24
  4. Step 4: Simplify right side
    1,027.10x = 1,483,062.02
  5. Step 5: Solve for x
    x = 1,483,062.02/1,027.10
  6. Step 6: Final answer
    x = 1,443.93

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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.