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Finding the Fourth Proportional to 922.34, 1,383.62 and 435.13

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Solution

The fourth proportional to 922.34, 1,383.62 and 435.13 is: 652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.34 : 1,383.62 = 435.13 : x
  2. Step 2: Convert to fraction form
    922.34/1,383.62 = 435.13/x
  3. Step 3: Cross multiply
    922.34x = 1,383.62 × 435.13
  4. Step 4: Simplify right side
    922.34x = 602,048.94
  5. Step 5: Solve for x
    x = 602,048.94/922.34
  6. Step 6: Final answer
    x = 652.74

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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.