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Finding the Fourth Proportional to 922.63, 1,383.15 and 435.34

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Solution

The fourth proportional to 922.63, 1,383.15 and 435.34 is: 652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.63 : 1,383.15 = 435.34 : x
  2. Step 2: Convert to fraction form
    922.63/1,383.15 = 435.34/x
  3. Step 3: Cross multiply
    922.63x = 1,383.15 × 435.34
  4. Step 4: Simplify right side
    922.63x = 602,140.52
  5. Step 5: Solve for x
    x = 602,140.52/922.63
  6. Step 6: Final answer
    x = 652.63

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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.