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Finding the Fourth Proportional to 1,023.36, 1,533.96 and 658.28

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Solution

The fourth proportional to 1,023.36, 1,533.96 and 658.28 is: 986.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.36 : 1,533.96 = 658.28 : x
  2. Step 2: Convert to fraction form
    1,023.36/1,533.96 = 658.28/x
  3. Step 3: Cross multiply
    1,023.36x = 1,533.96 × 658.28
  4. Step 4: Simplify right side
    1,023.36x = 1,009,767.52
  5. Step 5: Solve for x
    x = 1,009,767.52/1,023.36
  6. Step 6: Final answer
    x = 986.72

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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.