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Finding the Fourth Proportional to 930.38, 1,283.60 and 552.18

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Solution

The fourth proportional to 930.38, 1,283.60 and 552.18 is: 761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.38 : 1,283.60 = 552.18 : x
  2. Step 2: Convert to fraction form
    930.38/1,283.60 = 552.18/x
  3. Step 3: Cross multiply
    930.38x = 1,283.60 × 552.18
  4. Step 4: Simplify right side
    930.38x = 708,779.63
  5. Step 5: Solve for x
    x = 708,779.63/930.38
  6. Step 6: Final answer
    x = 761.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.