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Finding the Fourth Proportional to 1,301.58, 1,798.46 and 1,024.02

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Solution

The fourth proportional to 1,301.58, 1,798.46 and 1,024.02 is: 1,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.58 : 1,798.46 = 1,024.02 : x
  2. Step 2: Convert to fraction form
    1,301.58/1,798.46 = 1,024.02/x
  3. Step 3: Cross multiply
    1,301.58x = 1,798.46 × 1,024.02
  4. Step 4: Simplify right side
    1,301.58x = 1,841,659.01
  5. Step 5: Solve for x
    x = 1,841,659.01/1,301.58
  6. Step 6: Final answer
    x = 1,414.94

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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.