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Finding the Fourth Proportional to 922.24, 1,383.36 and 730

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Solution

The fourth proportional to 922.24, 1,383.36 and 730 is: 1,095

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.24 : 1,383.36 = 730 : x
  2. Step 2: Convert to fraction form
    922.24/1,383.36 = 730/x
  3. Step 3: Cross multiply
    922.24x = 1,383.36 × 730
  4. Step 4: Simplify right side
    922.24x = 1,009,852.80
  5. Step 5: Solve for x
    x = 1,009,852.80/922.24
  6. Step 6: Final answer
    x = 1,095

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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.