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Finding the Fourth Proportional to 923.40, 1,383.96 and 435.48

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Solution

The fourth proportional to 923.40, 1,383.96 and 435.48 is: 652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.40 : 1,383.96 = 435.48 : x
  2. Step 2: Convert to fraction form
    923.40/1,383.96 = 435.48/x
  3. Step 3: Cross multiply
    923.40x = 1,383.96 × 435.48
  4. Step 4: Simplify right side
    923.40x = 602,686.90
  5. Step 5: Solve for x
    x = 602,686.90/923.40
  6. Step 6: Final answer
    x = 652.68

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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.