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Finding the Fourth Proportional to 1,658.97, 2,288.93 and 1,029.20

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Solution

The fourth proportional to 1,658.97, 2,288.93 and 1,029.20 is: 1,420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.97 : 2,288.93 = 1,029.20 : x
  2. Step 2: Convert to fraction form
    1,658.97/2,288.93 = 1,029.20/x
  3. Step 3: Cross multiply
    1,658.97x = 2,288.93 × 1,029.20
  4. Step 4: Simplify right side
    1,658.97x = 2,355,750.17
  5. Step 5: Solve for x
    x = 2,355,750.17/1,658.97
  6. Step 6: Final answer
    x = 1,420.01

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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.